A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange. 6x + 6y = 7.50 10x + 5y = 8.75 What is the cost of one apple? $
Answers
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The cost of 1 apple is $ 0.5
Solution:
Let "x" be the cost of one apple
Let "y" be the cost of one orange
The system of equations below can be used to determine the cost of one apple and one orange are:
6x + 6y = 7.50 ------- eqn 1
10x + 5y = 8.75 ------ eqn 2
Multiply eqn 1 by 5
30x + 30y = 37.5 -------- eqn 3
Multiply eqn 2 by 6
60x + 30y = 52.5 -------- eqn 4
Subtract eqn 3 from eqn 4
60x + 30y = 52.5
30x + 30y = 37.5
( - ) -----------------
30x = 15
x = 0.5
Thus cost of 1 apple is $ 0.5
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