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PLEASE HELP Jason bought 5 apples and 12 peaches for a total of $8.78. Leah bought 7 apples and 8 peaches for $7.98. How much are apples and peaches?

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Respuesta :

Assuming apples = x, peaches = y

[tex]5x + 12y = 8.78 \\ 7x + 8y = 7.98[/tex]

[tex]5x + 12y = 8.78 \\ 5x = 8.78 - 12y \\ x = 1.756 - 2.4y[/tex]

Substitute that into
[tex]7(1.756 - 2.4y) + 8y = 7.98 \\ 12.292 - 16.8y + 8y = 7.98 \\8.8y = 4.312 \\ y = 0.49[/tex]

Substitute that into
[tex]x = 1.756 - 2.4(0.49) \\ x = 1.756 - 1.176 \\ x = 0.58[/tex]

Answer:
Each apple = $0.58,
each peach = $0.49

Hope this helps. - M

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