Questions on Word Problems: Problems on percentages, ratios, and fractions answered by real tutors!

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Question 151600: Production Turley Tailor Inc. makes long-sleeve, shortsleeve,
and sleeveless blouses. A long-sleeve blouse
requires 1.5 hours of cutting and 1.2 hours of sewing. A
short-sleeve blouse requires 1 hour of cutting and .9 hour of
sewing. A sleeveless blouse requires .5 hour of cutting
and .6 hour of sewing. There are 380 hours of labor available
in the cutting department each day and 330 hours in
the sewing department. If the plant is to run at full capacity,
how many of each type of blouse should be made each day?
Click here to see answer by ankor@dixie-net.com(15656)

Question 151762: What is the ratio of those who prefer black coffee to those who prefer nonblack coffee.Among 100 Coffee drinkers, 36 said that they preferred their coffee black and the rest did not prefer their coffee black.
Click here to see answer by orca(409)

Question 151872: of this year's graduating seniors at south high, 9/10 will be going to college. Of these, 4/5 will go to four year college, while the rest will be going to two- year colleges. What part of the class will be going to two-year colleges?
Click here to see answer by leo4frio(2)

Question 152102: Four firefighters were discussing the number of fires they extinguished for the month of February. Rafael extinguished 25% fewer fires than Louis in February. William extinguished 50% more fires than Rafael. Albert extinguished 20% fewer fires than Rafael and William combined. If Louis extinguished 6 fires per week, how many fires did all four men extinguish during the entire month?

Click here to see answer by ankor@dixie-net.com(15656)

Question 152496: . How many pints of a 9% cleaning solution must be mixed with 10 pints of a 13%
cleaning solution to give a 11% solution?

Click here to see answer by mangopeeler07(462)

Question 152849: Help Me Please!!!!!!!!!!!
Question- A sweater is 65% wool by weight. If the sweater weighs 12.4 ounces, how much wool is in the sweater?
Click here to see answer by Earlsdon(6287)

Question 152848: Please Help Me Figure This Out!!!!!!!!
Question- A baseball park has 40,000 seats of which 13,040 are box seats and 18,200 are reserved seats. What percent of the seats are box seats? What percent of the seats are reserved seats?
Click here to see answer by jim_thompson5910(28595)

Question 153118:
You belong to a wholesale buying club. You can order items from the club with a markup of 8% over the wholesale price. A local retail store, which gets its merchandise at the same wholesale price, offers to sell you those same items at 10% off the shelf price. What does the retail store’s markup have to be for it to be cheaper for you to buy through your club? Show your work and explain your thinking.
Click here to see answer by vleith(2825)

Question 153170: commission
A company pays its sales people on a basis of percentage of the first $100,000
in sales , plus a certain percentage of any amount over $100,000 in sales .If one salesperson earned $8500 on sales of $175000 and another sales person earned $14,800 on sales of $280,000 find the two percentages
I have a deep desire to master worded problems, However i am having problems constructing the models.Can you advise me on how solve a problem like this one. I trying hard to learn from examples.

Click here to see answer by oscargut(891)

Question 153172: Yearly profit
In news reports ,profits of a company this year (T)are often compared with those of last year(L) ,but actual values of T and L are not always given this year, a company had profit of$25 million more than last year .The profits were up 30%.Determine T and L from these data.
I would appreciate it if you guide me through this problem. Thank you

Click here to see answer by oscargut(891)

Question 153167: A doctor wants to use three lots of ichthammol containing 50%, 20% and 5% ichthammol respectively. In what proportion should they be mixed to prepare a 10% ichthammol ointment?
Click here to see answer by ankor@dixie-net.com(15656)

Question 153235: robert brought a car for $1,500.00.if the sales tax is 5%,what will be the total that robert had to pay for the car?
Click here to see answer by checkley77(12569)

Question 154601: can someone please help me solve this problem?
2. A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?

Click here to see answer by scott8148(6628)

Question 154631: How much pure acid should be mixed with 2 gallons of a 40% acid solution in order to get a 70% acid solution?
Click here to see answer by nerdybill(6962)

Question 154950: The price is now $500. What was the original price if the discount is 4%?
Click here to see answer by oscargut(891)

Question 154950: The price is now $500. What was the original price if the discount is 4%?
Click here to see answer by checkley77(12569)

Question 154960: the sum of the digits of a two-digit counting number is 12 and the ratio of the units' digit to the tens' digit is 1 to 2. what is the number?
Click here to see answer by stanbon(57361)

Question 154849: A sheet of paper is 11 inches long. When it is folded in half on the dotted line, as shown, the ratio of length to width remains unchanged. What was the width of the original sheet of paper?
Click here to see answer by orca(409)

Question 155110: The starned rate for tiping in a reatarunt is 15%percent of your Bill.
If you spend $120 dollar, how much would your tip be
Click here to see answer by stanbon(57361)

Question 155596: 1. Jefferson High School has 100 less than 5 times as many students as Taft High School. Write and evaluate an expresion to find the number of students at Jefferson High School if Taft High School has 300 studenst.

2. Guadalupe Peak in Mexico has an altitude that is 671 feet more than double the altitude of Mount Sunflower in Florida. Write and evaluate an expression for the altitude of Guadalupe peak if Mount Sunflower has an altitude of 4039 feet.

ThANk you.
Click here to see answer by stanbon(57361)

Question 155780: Sally has 3/16 of a pan of brownies. She gives 1/8 of what she has to bob. What fraction of a full pan will bob have?
Click here to see answer by checkley77(12569)

Question 155806: Terry had 60 emplyees.20% were drivers,1/3 were messengers .25 worked in the office . The rest were mangers. How many were mangers?
Click here to see answer by stanbon(57361)

Question 155868: I have never been very good with word problems and I just can't get this one to make any sense in a problem.
For the typical "one hour" prime-time television slot, the number of minutes of commercials is 3/7 of the number of minutes of the actual program. Determine how many minutes of the program are shown in that one hour.
Click here to see answer by Earlsdon(6287)

Question 155896: Four firefighters were discussing the number of fires they extinguished for the month of February. Rafael extinguished 25% fewer fires than Louis in February. William extinguished 50% more fires than Rafael. Albert extinguished 20% fewer fires than Rafael and William combined. If Louis extinguished 6 fires per week, how many fires did all four men extinguish during the entire month?
Click here to see answer by ankor@dixie-net.com(15656)

Question 156257: The ratio of the # of Conor's marbles to the # of Lillian's marbles is 3:4. After Conor bought another 60 marbles, he had twice as many marbles as Lillian. How many marbles did Conor have at first?
I don't know how to start to figure this out. Do I use x represent Conor's marbles or Lillian's marbles?
Click here to see answer by ankor@dixie-net.com(15656)

Question 156351: find the area of a rectangle if i=15in.,w =2in
Click here to see answer by oscargut(891)

Question 156536: 8 tenths divded by 4 tenths
Click here to see answer by orca(409)

Question 156537: what number is 70% of 20
Click here to see answer by Alan3354(30993)

Question 156538: what percent of 50 is 45
Click here to see answer by Fombitz(13828)

Question 156519: eight tenths divided by four tenths
Click here to see answer by Fombitz(13828)

Question 157715: Biologists catch, mark and then release 356 fish. One week later, they catch 629 fish and of that group 85 are marked. Use the information to estimate the total population of fish in the lake.
Click here to see answer by checkley77(12569)

Question 158203: Ocean Salinity: The salinity (salt content) of the Atlantic Ocean averages 37 parts per thousand. If 64 ounces of water is collected and placed in the sun, how many ounces of pure water would need to evaporate to raise the salinity to 45 parts per thousand? (Only pure water is evaporated; the salt is left behind.)
---I dont even know where to begin this one; I need to know how to setup the equation, what information is important, and the solution.
Click here to see answer by checkley77(12569)

Question 158219: A wooden chess set is priced at $120. It was discounted 35%. What was the actual cost?
My work:
120=1.35x
120/1.35=x
88.8888888888888889=x
Click here to see answer by checkley77(12569)

Question 158237: I did the work, but got the question wrong.
The distance a car needs to stop is directly proportional to the square of the rate of the speed. Under certain conditions a car traveling at 60 m.p.h. needs 300 feet to stop. With the same driving conditions, how long will it take to stop if one is traveling at 30 m.p.h.?
my work:
300/60=x/30
5/1=x/30
x=150 feet
Click here to see answer by rozy101(1)

Question 158245: I got the question incorrect, but I do not know what I did wrong.
The cost of manufacturing notebooks varies inversely as the number of notebooks. If it costs 50 cents a notebook when 10,000 are manufactured, how much will it cost if 18,000 are made?
MY WORK:
50/10,000=x/18,000
1/200=x/18,000
200x=18,000
x=90 cents
Click here to see answer by ilana(307)

Question 158309: Anna has 6 liters of 60% acid. How much water should she add to make a solution that is 40% acid?
Click here to see answer by stanbon(57361)

Question 158308: If Eric had nineteen fewer nickels and twenty-one fewer dimes, he would have the same number of nickels, dimes, and quarters. Eric has a total of $7.45. How many of each coin does he have?
Click here to see answer by nerdybill(6962)

Question 158320: 1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by
a. What is the cost to remove 75% of the pollutant?
b. What is the cost to remove 90 % of the pollutant?
c. What is the cost to remove 99% of the pollutant?
d. For what value is this equation undefined?
e. Do the answers to sections a–d match your expectations? Why or why not?

Click here to see answer by checkley77(12569)

Question 158318: 1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by C= 6,000 / 200-2x
a. What is the cost to remove 75% of the pollutant?
b. What is the cost to remove 90 % of the pollutant?
c. What is the cost to remove 99% of the pollutant?
d. For what value is this equation undefined?
e. Do the answers to sections a–d match your expectations? Why or why not?

Click here to see answer by checkley77(12569)

Question 158314: how many php 80000be invested part at 7% and the rest 6% so that both investments produce equal income?
Click here to see answer by checkley77(12569)

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