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Tutors Answer Your Questions about Percentage-and-ratio-word-problems (FREE)
Question 1210704: Frank has a festoon which he lights up for the village festa.
The festoon has white and blue bulbs in the ratio 3:5. It has 45 white bulbs.
This year, he wants to change the ratio of white and blue bulbs in the festoon to the
ratio of 1:3. He will keep the same total number of bulbs in his festoon.
How many more blue bulbs will there be in this year’s festoon?
Click here to see answer by MathTherapy(10864)   |
Question 1210704: Frank has a festoon which he lights up for the village festa.
The festoon has white and blue bulbs in the ratio 3:5. It has 45 white bulbs.
This year, he wants to change the ratio of white and blue bulbs in the festoon to the
ratio of 1:3. He will keep the same total number of bulbs in his festoon.
How many more blue bulbs will there be in this year’s festoon?
Click here to see answer by greenestamps(13380)  |
Question 1210704: Frank has a festoon which he lights up for the village festa.
The festoon has white and blue bulbs in the ratio 3:5. It has 45 white bulbs.
This year, he wants to change the ratio of white and blue bulbs in the festoon to the
ratio of 1:3. He will keep the same total number of bulbs in his festoon.
How many more blue bulbs will there be in this year’s festoon?
Click here to see answer by math_tutor2020(3847) |
Question 1210704: Frank has a festoon which he lights up for the village festa.
The festoon has white and blue bulbs in the ratio 3:5. It has 45 white bulbs.
This year, he wants to change the ratio of white and blue bulbs in the festoon to the
ratio of 1:3. He will keep the same total number of bulbs in his festoon.
How many more blue bulbs will there be in this year’s festoon?
Click here to see answer by ikleyn(54017)  |
Question 1210703: Single persons pay income tax on their annual earnings using the following tax rates:
On the first €8500, no tax is paid.
On the next €6000, tax is paid at the rate of 15%.
On the next €5000, tax is paid at the rate of 25%.
On the next €40 500, tax is paid at the rate of 29%.
Over €60 000, tax is paid at the rate of 35%.
Jean gets €24 700 gross annual pay and he has no other income.
(i) Work out his annual tax.
(ii) Jean also needs to pay 10% national insurance on his gross salary.
Work out Jean’s weekly national insurance contribution.
(iii) The weekly net salary is the amount that remains after income tax and national insurance
are deducted from the gross weekly salary.
Find Jean’s weekly net salary.
Click here to see answer by KMST(5434)  |
Question 1210705: In a local band orchestra, musicians are being arranged in two sections: string section and
wind section.
The total number of musicians in the orchestra is 95.
The number of musicians in the wind section is one and a half times the number of musicians
in the string section.
(a) If 𝑠 represents the number of musicians in the string section, and 𝑤 represents the
number of musicians in the wind section, form TWO equations that represent this
situation.
(b) Solve these equations simultaneously to find the number of musicians in each section
Click here to see answer by KMST(5434) |
Question 1210664: A wholesale bakery packs its daily signature cookies into identical boxes.One morning, the bakers prepare a batch of chocolate chip cookies and add 10 more oatmeal raisins to the total count, keeping them all together in a single holding bin. A morning delivery driver takes 1/4 of the cookies from this bin to a local café. Later, an afternoon driver takes 1/6 of the cookies from that same bin for a catering event. If the morning driver received exactly 4 more cookies than the afternoon driver, how many signature cookies did the bakery pack before adding the extra oatmeal raisins?
Click here to see answer by ikleyn(54017) |
Question 1210664: A wholesale bakery packs its daily signature cookies into identical boxes.One morning, the bakers prepare a batch of chocolate chip cookies and add 10 more oatmeal raisins to the total count, keeping them all together in a single holding bin. A morning delivery driver takes 1/4 of the cookies from this bin to a local café. Later, an afternoon driver takes 1/6 of the cookies from that same bin for a catering event. If the morning driver received exactly 4 more cookies than the afternoon driver, how many signature cookies did the bakery pack before adding the extra oatmeal raisins?
Click here to see answer by greenestamps(13380) |
Question 1210645: A candy shop owner is making a new batch of 200 specialty lollipops. Exactly 1/4 of the lollipops are cherry-flavored. Another 40% are watermelon-flavored. The remaining lollipops are split between grape and blue raspberry in a ratio of 3:2. How many blue raspberry lollipops did the shop owner make?
Click here to see answer by josgarithmetic(39842) |
Question 1158487: When the value of a is less than 0 in the equation y = a∛(x - h) + k, the graph will be...
closer to the y axis,
the same as the parent function graph,
farther from the y axis,
reflected across the x axis?
Click here to see answer by KMST(5434) |
Question 1210633: In a store selling Brand X and Brand Y shoes, some of the 100 pairs of shoes were sold. The ratio of the number of Brand X shoes to Brand Y shoes was 7/3 before the sale and became 5/1 after the sale. If an equal number of shoes were sold from both brands, how many total pairs of shoes remained in the store after the sale?
Click here to see answer by ikleyn(54017) |
Question 1210616: Emir, Cillian, and Lasha are avid collectors of vintage postage stamps. During a local exhibition, they decided to donate parts of their collections to a museum. The ratio of the number of stamps Emir and Cillian gave away was 4:7, while the ratio of the number of stamps Cillian and Lasha gave away was 3:5. The number of stamps Emir gave away was 20 fewer than the number of stamps he kept for himself. Cillian kept 3/2 as many stamps as Emir kept, and Lasha kept 4/3 as many stamps as Cillian kept. After their donations, they had a combined total of 738 stamps left in their collections. How many stamps did Lasha give away?
Click here to see answer by MathTherapy(10864) |
Question 1210616: Emir, Cillian, and Lasha are avid collectors of vintage postage stamps. During a local exhibition, they decided to donate parts of their collections to a museum. The ratio of the number of stamps Emir and Cillian gave away was 4:7, while the ratio of the number of stamps Cillian and Lasha gave away was 3:5. The number of stamps Emir gave away was 20 fewer than the number of stamps he kept for himself. Cillian kept 3/2 as many stamps as Emir kept, and Lasha kept 4/3 as many stamps as Cillian kept. After their donations, they had a combined total of 738 stamps left in their collections. How many stamps did Lasha give away?
Click here to see answer by ikleyn(54017) |
Question 1210616: Emir, Cillian, and Lasha are avid collectors of vintage postage stamps. During a local exhibition, they decided to donate parts of their collections to a museum. The ratio of the number of stamps Emir and Cillian gave away was 4:7, while the ratio of the number of stamps Cillian and Lasha gave away was 3:5. The number of stamps Emir gave away was 20 fewer than the number of stamps he kept for himself. Cillian kept 3/2 as many stamps as Emir kept, and Lasha kept 4/3 as many stamps as Cillian kept. After their donations, they had a combined total of 738 stamps left in their collections. How many stamps did Lasha give away?
Click here to see answer by KMST(5434) |
Question 1210613: Marek and Zaven had 900 coins altogether. Marek spent 25% fewer coins than Zaven. Zaven was left with 50% as many coins as the number he spent. Marek had 75% of the total number of coins the two friends had left in the end. How many coins did Marek have in the end?
Click here to see answer by greenestamps(13380) |
Question 1210613: Marek and Zaven had 900 coins altogether. Marek spent 25% fewer coins than Zaven. Zaven was left with 50% as many coins as the number he spent. Marek had 75% of the total number of coins the two friends had left in the end. How many coins did Marek have in the end?
Click here to see answer by math_tutor2020(3847) |
Question 1210613: Marek and Zaven had 900 coins altogether. Marek spent 25% fewer coins than Zaven. Zaven was left with 50% as many coins as the number he spent. Marek had 75% of the total number of coins the two friends had left in the end. How many coins did Marek have in the end?
Click here to see answer by KMST(5434) |
Question 1210613: Marek and Zaven had 900 coins altogether. Marek spent 25% fewer coins than Zaven. Zaven was left with 50% as many coins as the number he spent. Marek had 75% of the total number of coins the two friends had left in the end. How many coins did Marek have in the end?
Click here to see answer by josgarithmetic(39842) |
Question 1210615: Lauri and Anže are baking cookies for a village festival. Anže baked 2/3 as many cookies as Lauri. After the morning rush, Anže had 10 fewer cookies left than the number he had originally baked. Lauri had 1/4 as many cookies left as Anže. By the end of the day, the difference between the number of cookies they each had left was 30. How many cookies did Lauri bake at first?
Click here to see answer by ikleyn(54017) |
Question 1210615: Lauri and Anže are baking cookies for a village festival. Anže baked 2/3 as many cookies as Lauri. After the morning rush, Anže had 10 fewer cookies left than the number he had originally baked. Lauri had 1/4 as many cookies left as Anže. By the end of the day, the difference between the number of cookies they each had left was 30. How many cookies did Lauri bake at first?
Click here to see answer by KMST(5434) |
Question 1210614: Leo spent 25% of his savings on 3 gaming mice and 5 charging cables on Friday. The cost of one gaming mouse was three times the cost of one charging cable. On Saturday, he spent 4/5 of his remaining savings to buy some more gaming mice and another 8 charging cables. How many gaming mice did he buy on Saturday?
Click here to see answer by KMST(5434) |
Question 1210604: Two athletes, Leo and Jasper, were responsible for distributing premium energy bars to the teams during a weekend tournament. Leo distributed 540 energy bars on the first day. Jasper distributed a quantity equal to exactly 4/9 as many bars as Leo. Jasper had a remaining stock of bars that was 15% greater than the number of bars he just distributed. Leo had a remaining stock that was 2.25 times the size of Jasper’s remaining stock. Calculate the total number of energy bars Leo and Jasper had in their combined inventory before the tournament began.
Click here to see answer by math_tutor2020(3847) |
Question 1210604: Two athletes, Leo and Jasper, were responsible for distributing premium energy bars to the teams during a weekend tournament. Leo distributed 540 energy bars on the first day. Jasper distributed a quantity equal to exactly 4/9 as many bars as Leo. Jasper had a remaining stock of bars that was 15% greater than the number of bars he just distributed. Leo had a remaining stock that was 2.25 times the size of Jasper’s remaining stock. Calculate the total number of energy bars Leo and Jasper had in their combined inventory before the tournament began.
Click here to see answer by greenestamps(13380) |
Question 1210604: Two athletes, Leo and Jasper, were responsible for distributing premium energy bars to the teams during a weekend tournament. Leo distributed 540 energy bars on the first day. Jasper distributed a quantity equal to exactly 4/9 as many bars as Leo. Jasper had a remaining stock of bars that was 15% greater than the number of bars he just distributed. Leo had a remaining stock that was 2.25 times the size of Jasper’s remaining stock. Calculate the total number of energy bars Leo and Jasper had in their combined inventory before the tournament began.
Click here to see answer by josgarithmetic(39842) |
Question 1210597: Liam and Noah shared a collection of 540 vintage stamps. Liam sold 2/5 fewer stamps than Noah. After the sale, Noah found that the number of stamps he had remaining was exactly 2/3 of the number of stamps he had sold. If Liam’s remaining stamps accounted for 4/7 of the total stamps the two boys possessed at the end, how many stamps did Liam have at first?
Click here to see answer by MathTherapy(10864) |
Question 1210597: Liam and Noah shared a collection of 540 vintage stamps. Liam sold 2/5 fewer stamps than Noah. After the sale, Noah found that the number of stamps he had remaining was exactly 2/3 of the number of stamps he had sold. If Liam’s remaining stamps accounted for 4/7 of the total stamps the two boys possessed at the end, how many stamps did Liam have at first?
Click here to see answer by KMST(5434) |
Question 1210597: Liam and Noah shared a collection of 540 vintage stamps. Liam sold 2/5 fewer stamps than Noah. After the sale, Noah found that the number of stamps he had remaining was exactly 2/3 of the number of stamps he had sold. If Liam’s remaining stamps accounted for 4/7 of the total stamps the two boys possessed at the end, how many stamps did Liam have at first?
Click here to see answer by josgarithmetic(39842) |
Question 1210597: Liam and Noah shared a collection of 540 vintage stamps. Liam sold 2/5 fewer stamps than Noah. After the sale, Noah found that the number of stamps he had remaining was exactly 2/3 of the number of stamps he had sold. If Liam’s remaining stamps accounted for 4/7 of the total stamps the two boys possessed at the end, how many stamps did Liam have at first?
Click here to see answer by greenestamps(13380) |
Question 1210595: A donut shop sold 3/5 of their glazed donuts in the morning, In the afternoon, they sold 5/6 of the remaining glazed donuts. The ratio of the remaining glazed donuts to the remaining chocolate donuts was 2:7. If they had 42 chocolate donuts left, how many total donuts (glazed + chocolate) did the shop have at the very beginning?
Click here to see answer by greenestamps(13380) |
Question 1210595: A donut shop sold 3/5 of their glazed donuts in the morning, In the afternoon, they sold 5/6 of the remaining glazed donuts. The ratio of the remaining glazed donuts to the remaining chocolate donuts was 2:7. If they had 42 chocolate donuts left, how many total donuts (glazed + chocolate) did the shop have at the very beginning?
Click here to see answer by ikleyn(54017) |
Question 1210595: A donut shop sold 3/5 of their glazed donuts in the morning, In the afternoon, they sold 5/6 of the remaining glazed donuts. The ratio of the remaining glazed donuts to the remaining chocolate donuts was 2:7. If they had 42 chocolate donuts left, how many total donuts (glazed + chocolate) did the shop have at the very beginning?
Click here to see answer by KMST(5434) |
Question 1210596: A high-performance drone started its flight with a full battery charge. During the first phase (Takeoff and Ascent), it used 30% of its total capacity plus an additional 8 mAh. After this phase, it entered the second phase (Data Collection), where it used 60% of the remaining charge plus an additional 12 mAh. At the end of the mission, the remaining battery charge was 136 mAh less than the charge consumed during the Data Collection phase. Find the battery capacity used during the Takeoff and Ascent phase.
Click here to see answer by greenestamps(13380) |
Question 187282: Felipe jobs for 10 miles and then walks another 10 miles. He jobs 2 1/2 miles per hour faster than he walks, and the entire distance of 20 miles takes 6 hours. find the rate at which he walks and the rate at which he jogs.
Click here to see answer by MathTherapy(10864) |
Question 1210594: Luka and his friends are preparing for a local bazaar. Luka spent 2 1/2 hours making friendship bracelets, which was 3/4 of the time he spent baking cookies. The ratio of the number of cookies he baked to the number of bracelets he made was 5:2.
1. How many hours did Luka spend baking cookies?
2. If he sold 3/5 of his cookies and 1/2 of his bracelets, and he had 48 cookies left, how many bracelets did he have remaining?
Click here to see answer by KMST(5434) |
Question 1210594: Luka and his friends are preparing for a local bazaar. Luka spent 2 1/2 hours making friendship bracelets, which was 3/4 of the time he spent baking cookies. The ratio of the number of cookies he baked to the number of bracelets he made was 5:2.
1. How many hours did Luka spend baking cookies?
2. If he sold 3/5 of his cookies and 1/2 of his bracelets, and he had 48 cookies left, how many bracelets did he have remaining?
Click here to see answer by MathTherapy(10864) |
Question 1210594: Luka and his friends are preparing for a local bazaar. Luka spent 2 1/2 hours making friendship bracelets, which was 3/4 of the time he spent baking cookies. The ratio of the number of cookies he baked to the number of bracelets he made was 5:2.
1. How many hours did Luka spend baking cookies?
2. If he sold 3/5 of his cookies and 1/2 of his bracelets, and he had 48 cookies left, how many bracelets did he have remaining?
Click here to see answer by ikleyn(54017) |
Question 1210594: Luka and his friends are preparing for a local bazaar. Luka spent 2 1/2 hours making friendship bracelets, which was 3/4 of the time he spent baking cookies. The ratio of the number of cookies he baked to the number of bracelets he made was 5:2.
1. How many hours did Luka spend baking cookies?
2. If he sold 3/5 of his cookies and 1/2 of his bracelets, and he had 48 cookies left, how many bracelets did he have remaining?
Click here to see answer by josgarithmetic(39842) |
Question 1210589: A fruit seller had a collection of apples, pears, and oranges.
Initially, 1/4 of the fruits were apples.
He sold 80 apples and 1/3 of the pears.
After this, he bought more oranges, increasing the number of oranges by 60%.
At this point, the number of pears he had left was twice the number of apples he had left.
Finally, he realized that the total number of fruits he had now was exactly 20% more than the total number he started with.
How many oranges did the fruit seller have at the very beginning?
Click here to see answer by greenestamps(13380) |
Question 1210592: Arthur starts with a certain number of rare trading cards. First. Arthur gives 4 1/2 cards to a local collector to complete a set. After this, the ratio of the cards Arthur has left to the cards he started with is exactly 3:4. Next, Ben takes half of the remaining cards plus another half of a card. Then, Cole takes half of what Ben left behind plus another half of a card. Finally, Dan takes half of what Cole left behind plus another half of a card. After Dan is finished, there are exactly 2 cards left. How many trading cards did Arthur start with?
Click here to see answer by greenestamps(13380) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095
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