Jackson runs a farm stand that sells bananas and grapes. Each pound of bananas sells for $1 and each pound of grapes sells for $2.25. Jackson sold 15 more pounds of bananas than pounds of grapes and made $54 altogether. Graphically solve a system of equations in order to determine the number of pounds of bananas sold, x , x, and the number of pounds of grapes sold, y y

Given that Jackson runs a farm stand that sells bananas and grapes, and each pound of bananas sells for $ 1 and each pound of grapes sells for $ 2.25, and Jackson sold 15 more pounds of bananas than pounds of grapes and made $ 54 altogether, to determine the number of pounds of bananas sold and the number of pounds of grapes sold the following calculation must be performed:

25 x 1 + 10 x 2.25 = 25 + 22.50 = 47.50
26 x 1 + 11 x 2.25 = 26 + 24.75 = 50.75
27 x 1 + 12 x 2.25 = 27 + 27 = 54

Therefore, Jackson sold 27 pounds of bananas and 12 pounds of grapes.

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