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How much would we each make?

a friend and I are logging and we get different amounts each load. we decided that he should make 1.25 what I make PER HOUR. if we make 800 dollars for a load that took 40 hours to make, and he worked 25 hours (and I worked 15), how much would we both make, and most importantly, what is the formula? it will vary with each load, so I want to know how to keep it fair. thanks. it's simple if we work the same amount of hours but I can't figure it out with varied hours

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Ok, here's what you do. Your wage is X and your partner's is 1.25X. Take the hours you each work times your wage, in this case is 15X for you plus 25 x 1.25 X (31.25X) for your partner to get the formula to apply to the payment. In this case the total for both of you is 46.25X. Divide 800 by 46.25 to get \$17.30 per X. You get 15 X, which is 15 x \$17.30 = \$259.50 and he gets 31.25X or 31.25 x \$17.30 = \$540.62. Since I rounded the X up a little (the actual figure is \$17.2973) you need to make a small adjustment in the extra 12 pennies to make it equal \$800. You need to do this for each load, using the hours you each worked and the payment you got. And you thought you'd never need algebra!!