SOLUTION: six pears and three apples cost $3.90. two pears and five apples cost $3.30. how much does one pear cost? write one equation for each situation and solve the system of equations.

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Question 69172: six pears and three apples cost $3.90. two pears and five apples cost $3.30. how much does one pear cost? write one equation for each situation and solve the system of equations.
let p = the cost of one pear
let a = the cost of one apple
a. write a system of equations that can be used to determine the cost of pears and apples.
b. determine the cost of one pear and one apple.
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
6P+3A=390
2P+5A=330 NOW MULTIPLY THIS EQUATION BY -3 & ADD.
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-6P-15A=-990
6P+3A=390
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-12A=-600
A=-600/-12
A=50 APPLES. NOW SUBSTITUTE 50 FOR A & SOLVE FOR P
6P+3*50=390
6P+150=390
6P=390-150
6P=240
P=240/6
P=40 NUMBER OF PEARS
PROOF
2*40+5*50=330
80+250=330
330=330