   SEARCH HOME Math Central Quandaries & Queries  Question from Tracy, a student: I need to know how to come up with the answers to the following problems. I need to be able to show my work. So can you help me on how to come up with the answers to questions like these. Thanks. Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Y invests$7,000, Z invests $4,000. If the profits are$4,800, how much less does x receive compared to having the profits divided in proportion to the amounts invested by X, Y, and Z? In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using a smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type? ___________ thank you Hi Tracy,

You are instructed to show your work not mine so I am not going to do these problems for you but I will help her you started on the first problem.

If the profit is $\$4,800$and they split it 3 ways then each of them will get$\$4,800/3 = \$1,600.$Together they invested$\$9,000 + \$7,000 + \$4,000 = \$20.000.$The fraction of the investment that came from X is$\large \frac{\$9,000}{\$20,000} = \frac{9}{20}.$Thus if they divide the profit in proportion to the amount invested than the fraction of the profit coming to X will be$\large \frac{9}{20}.\$

I hope this helps,
Penny     Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.