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# A Business math word problem?

July 18, 2019 / By Noland
Question: Please someone help me out here. I'm trying to complete homework for an online class and I am stuck on this one word problem. If possible please explain how you get your answer. Staples sells cartons of pens (\$8) and rubber bands (\$5). Leona ordered a total of 34 cartons for \$245. How many cartons of each did Leona order?

Kurt | 8 days ago
Let x equal the number of cartons of pens. Let y = the number of cartons of rubber bands. According to the problem, the total cartons ordered was 34. So x + y = 34 At \$8 each, x number of cartons of pens will cost 8x. At \$5 each, y number of cartons of rubber bands will cost 5y. According to the problem, the total cost is \$245 So 8x + 5y = 245. Since x + y = 34, then (by subtracting x from both sides) y = 34 - x Now you have a way to replace y in the second equation by stating its value in terms of x. That will give you an equation with only one unknown. Substituting "34 - x" in place of y in the second equation, you get 8x + 5 ( 34 - x ) = 245 Clear the parentheses 8x + 170 - 5x = 245 Combine like terms 3x + 170 = 245 Subtract 170 from both sides 3x = 75 Divide both sides by 3 x = 25 You already said (in the very first line) that x = the number of cartons of pens. So there were 25 cartons of pens at \$8 each for a total of \$200. The rest of the cartons were rubber bands, so there were 9 cartons of rubber bands (34 cartons total - 25 cartons of pens = 9 cartons of rubber bands). 9 cartons of rubber bands at \$5 each = \$45. Added together, 25 cartons of pens at a cost of \$200 plus 9 cartons of rubber bands for \$45 comes up to \$245, just as the problem states. Answer: 25 cartons of pens and 9 cartons of rubber bands.
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Originally Answered: Math Word Problem.retirement problem? Don't Understand?
Find how much she would make on the 80 K (80Kx.095). Subtract it from 25K. With the 80 K gone she has 120K left. 120K x N=Whatever you got when you subtracted 25K. I'm not going to fully do your homework, but I think you can get it from there.
Originally Answered: Math Word Problem.retirement problem? Don't Understand?
80,000 x 9.5% + (200,000 – 80,000) x r = 25,000 7600 + 120,000 x r = 25,000 120,000 x r = 17400 r = 14.5 % She should earn 14.5% in the remainder to achieve her goal.

Irving
P = the number of pen cartons and R = the number of rubber band cartons So P+R = 34 and 8P + 5R = 245 P+R = 34 P = 34 - R 8P + 5R = 245 8(34 - R) + 5R = 245 solve that for R and then subtract it from 34 to get P
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Farley
you have have been given the uncomplicated theory yet there are 2 blunders right here. the 1st happens between those steps: \$350,000= x + 4/3x \$350,000= 2 4/3x or 10/6x ***incorrect*** the 2d line there could be: \$350,000 = 3/3 x + 4/3 x = 7/3 x the 2d blunders is calculating how plenty the youngsters get. the situation says that each baby gets 2/3 of what the better half gets, yet your calculation supplies 2/3 to the youngsters in total (you're giving each baby basically a million/3 of what the better half gets). wish this permits!
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