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Austin and his children went into a grocery store and he bought $14 worth of apples and peaches. Each apple costs 1$ and each peach costs $2. He bought a total of 9 apples and peaches all together. Give a system of equations in order to determine the number of apples, x, and the number of peaches, y, that Austin bought.

Answer :

Let x be the number of apples bought

Let y be the number of peaches bought

From the question: " he bought $14 worth of apples and peaches. Each apple costs 1$ and each peach costs $2. "

x + 2y = 14

Also; "He bought a total of 9 apples and peaches all together"

x + y = 9

The system of equation is :

x + 2y = 14

x + y = 9

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