Question

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?

Answer 1

6x + 6y = 7.50
10x + 5y = 8.75

( 6x + 6y = 7.50 ) * 5
30x + 30y = 38.50

( 10x + 5y = 8.75 ) * 3
30x + 15y = 26.25

If we subtract the last 2 equations,
15y = (38.50 - 26.25)
15y = 12.25
y = 0.817 dollars

30x = 14
x = 14/30
x = 0.47 dollars

so the cost of one apple is 0.47 dollars