SOLUTION: Three apples and two ponkans cost php 51. Two apples and 3 ponkans cost php 46.50. How much will half a dozen apples and half a dozen ponkans cost?

Algebra ->  Finance -> SOLUTION: Three apples and two ponkans cost php 51. Two apples and 3 ponkans cost php 46.50. How much will half a dozen apples and half a dozen ponkans cost?      Log On


   

Question 1003578: Three apples and two ponkans cost php 51. Two apples and 3 ponkans cost php 46.50. How much will half a dozen apples and half a dozen ponkans cost?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
apple price, x
ponkan price, y
system%283x%2B2y=51%2C2x%2B3y=46.5%29
Arrange for Elimination Method, 3 times the 51 equation and 2 times the 46.5 equation.

system%289x%2B6y=153%2C4x%2B6y=93%29
5x=60
highlight%28x=12%29-----price for one apple.
and from this, 2y=51-3x
y=%2851-3x%29%2F2
y=%2851-36%29%2F2
highlight%28y=7.5%29-----price for one ponkan