Xavier and his children went into a grocery store and he bought $6 worth of apples and bananas. Each apple costs $0.75 and each banana costs $0.50. He bought a total of 11 apples and bananas altogether. Determine the number of apples, x, x, and the number of bananas, y, y, that Xavier bought.

Xavier bought 2 apples and 9 bananas.

Step-by-step explanation:

Let x represent the number of apples that Javier bought.

Let y represent the number of bananas that Javier bought.

At the store, he bought $6 worth of apples and bananas. Each apple costs $0.75 and each banana costs $0.50. This is expressed as

0.75x + 0.5y = 6 - - - - - - - - - - - - 1

He bought a total of 11 apples and bananas altogether. This means that

x + y = 11

Substituting x = 11 - y into equation 1, it becomes

0.75(11 - y) + 0.5y = 6

8.25 - 0.75y + 0.5y = 6

- 0.75y + 0.5y = 6 - 8.25

- 0.25y = - 2.25

y = - 2.25/ - 0.25

y = 9

x = 11 - y = 11 - 9

x = 2

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