Questions on Word Problems: Numbers, consecutive odd/even, digits answered by real tutors!

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Question 3864: If the two-digit integers M and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of M and N ?
(A) 181
(B) 163
(C) 121
(D) 99
(E) 44

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Question 3822: sum of 3 consecutive no. is 18 whgat are the 3 no.(the sums are divisible by 3)
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Question 3898: How can I solve the following 2 questions:
1.Find the 2 consecutive integers equal to 77.
2. 5-2t = M

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Question 4048: Even Integers. If the sum of two consecutive integers is 86, what is the two integers.
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Question 4067: Show that the sum of any 5 consecutive counting numbers must have a factor of 5
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Question 4071: The sum of three integers is 25. The first integer is 4 times the sum of the second and third integer. The second is twice the opposite of the third. What are the integers?
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Question 4106: 3 apples cost as much as 4 pears, 3 pears cost as much as 2 oranges.
How many apples cost the same as 72 oranges

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Question 4083: In how many ways can a committee of 3 be selected from a group of 5?
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Question 4188: Find two positive real numbers that differ by 1 and have a product of 1.

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Question 4256: Discuss how to convert a decimal into a fraction. Include in your discussion how you know at the start if the decimal can give you a fraction.
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Question 4255: A car was to be sold at a 20% discount, which amounted to $2,200. How much would the car sell for after the discount?
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Question 4254: If the cost of a new car is $25,000 (plus 8% sales tax) and a down payment of 15% (including the tax) is required, how much money will a consumer need to drive out in a new car?

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Question 4231: A taxi charges an initial charge of $3. Your fare will be computed as the $3 charge plus 20 cents for every mile traveled.
a) Write the cost (C) of a taxi ride in terms of the number of miles ridden (X).
b) If the fare is $4.70, how far did you ride?

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Question 4273: the sumof three consecutive odd integers is 27.

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Question 4300: could you please give me a step-by-step explaination of this :
20.4 is 24% of what number? I don't know how to set the problem up.

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Question 4272: the sum of three consecutive integers is 42.
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Question 4252: Suppose you have a calculator that has only the operation of division along with the ten numerals, an equal sign, and memory.
Explain how you could find 0.5% of 5600. (note: there are no decimal or multiplication operators)

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Question 4331: sum of two numbers is 49 and the difference is 25
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Question 1636: The sum of two digits of a two digit number is seven. If the digits are reversed, the new number is nine less than the original number.
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Question 4519: an initial investment is made of $2000. part at 7% and the rest at 8%. If the total yearly interest from both equals $154 how much was invested at each rate?
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Question 4564: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
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Question 4566: What would be the formula for finding out the maximum you can spend and still have enough to pay the sales tax.
Say you have $100 dollars and you want to spend as much of it as you can and still be able to pay the 2.55% sales tax.
I thought it might be 0.0255x + x =100 , but I can't get the right answer which is 97.51

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Question 4575: If Leah is 6 years older than her sister, Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue? This question is answered only john in the equation was forgotten. Please answer showing an equation to figure this out.
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Question 4581: If r = 5 z then 15 z = 3 y, then r =
Please explain step by step

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Question 4514: The sum of two numbers is 208. One-third of the greater number equals the smaller number. What are the numbers?
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Question 4513: The sum of two numbers is 133. Four times the smaller of the two numbers equal three times the greater number. Find the numbers.
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Question 4576: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
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Question 4549: Write a system of equations and solve:
Molly is 5 years younger than Heidi. In 3 years, Heidi will be twice as old as Molly. How old are they now?

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Question 4596: If a and b are negative and c is positive, determine whether the following are positive or negative.
(a) (-a)(-c)
(b) (-a)(b)
(c) (c-b)(c-a)
(d) a(b - c)

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Question 4735: Write this equation and solve.
One half of a number is 3 more than one-sixth the same number. What is the number?
Solve the problem.
Hellen Weller had a total of $3000 to invest. She invested part of it in an account paying 2% simple interest and the rest at 4%. Her annual interest income was $100. How much did she invest in each account?
thanks

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Question 4772: Ivy Corporation gave 84 people a bonus. If Ivy had given 2 more people bonuses, Ivy would have rewarded 2/3 of the work force. What is Ivy's work force?
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Question 4771: At Maplewood Marine, shift 1 produced 3 times as much as shift 2. Maplewood's total production for June was 6,400 row boats. What was the output for each shift?
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Question 4769: Sara reduced its price on lawn mowers by $45. The sale price as $169. What was the original price?
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Question 4770: Joan Madden decided to pay 1/5 of the camp tuition for her grandson. Joan saved her daughter-in-law $250. What was the total cost of the tuition?
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Question 4594: Express the following in scientific notation
(a) (9.7 * 10^8)(8.5 * 10^3)

(b) (5.5 * 10^-7) / ( 9.1* 10^-2)

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Question 4885: The sum of two numbers is 23 and their difference is 5. Find the numbers.
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Question 4886: Find three consecutive integers so that twice the first added to five times the second exceeds three times the third by 51.
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Question 4882: Baker makes large and small cakes. Large cake requires 2 cups of frosting, while small requires 1 cup. How many of each size cake did she make if she made a total of 60 cakes and used 75 cups of frosting?
The answer is 15 large and 45 small. I cannot figure out how to set up problem.
Thank you
P

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Question 4768: John and Harvey sold widgets, Harvey sold 2 1/2 times as many widgets as John. If the difference in their sales was 87 units. How many widgets did each of them sell?
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Question 4426: If the sum of two numbers is 30 and one of the numbers is x, write the product of the two numbers as a function of x.
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Question 5153: I've wracked my brain trying to translate this word problem into the proper quadratic equation so that I can solve it. I know what the numbers are but can't figure out the proper format. Here's the problem -
"The sum of two numbers is 10. The sum of the squares of the two numbers is 58. Write and solve an equation to find the two numbers."
Thanks!!!

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Question 5247: The differene of two positive numbers is 5. If you square and add the results the sum is 97.
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Question 5296: Dr. Dixit jogged a total of 6600 yards in three nights. If each night he increased his distance 440 yards, how far did he jog on the first night?
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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