SOLUTION: I have the math problem listed below and was wondering if there is a formula that can be used to solve this. If there is a formula, could you show how to solve it and include each

Algebra ->  Equations -> SOLUTION: I have the math problem listed below and was wondering if there is a formula that can be used to solve this. If there is a formula, could you show how to solve it and include each      Log On


   



Question 963120: I have the math problem listed below and was wondering if there is a formula that can be used to solve this. If there is a formula, could you show how to solve it and include each step? Thanks so much.
A box containing 3 oranges, 2 apples, and one banana weighs 15 units. Another box containing 5 oranges, 7 apples, and 2 bananas weighs 44 units. A third box containing 1 orange, 3 apples, and 5 bananas weighs 26 units. How much does each fruit weigh?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
n,p,b, the units per piece for OraNge, aPple, Banana.

Write equations in these variables to account for the three different costs.

system%283n%2B2p%2Bb=15%2C5n%2B7p%2B2b=44%2Cn%2B3p%2B5b=26%29

That is the system to solve. Choose the method you want, matrix row operations, elimination, or substitution. My suggestion is use the "26" equation to elimininate terms of n from the "15" equation and the "44" equation. ... Go from there.