Asmall 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? $

The cost of an apple is $0.5 and an orange is $0.75

You can solve this problem by setting up a system of equations. Noe look at your two given equations.

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

Choose one equation and solve it for either variable, I will solve the second equation for y.

10x + 5y = 8.75 Subtract 10x from both sides
5y = -10x + 8.75 Divide both sides by 5
y = -2x + 1.75

Now substitute that y value in for y in the first equation and solve.

6x + 6(-2x + 1.75) = 7.50 Use the Distributive Property
6x - 12x + 10.5 = 7.50 Add like terms
-6x + 10.5 = 7.50 Subtract 10.5 from both sides
-6x = -3 Divide both sides by -6

x = .5

Since x is the variable representing apples, and x = 5, you know that one apple is $.50 (A.K.A 50 cents). Don't forget to add a zero to the .5 because you are dealing with money.

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