A fruit stand sells two varieties of strawberries: standard and deluxe. A box of standard strawberries sells for $7, and a box of deluxe strawberries sells for $11. In one day the stand sold 110 boxes of strawberries for a total of $930. How many boxes of each type were sold?

Question

Mathematics

Morgan Newton

15 March, 17:17

A fruit stand sells two varieties of strawberries: standard and deluxe. A box of standard strawberries sells for $7, and a box of deluxe strawberries sells for $11. In one day the stand sold 110 boxes of strawberries for a total of $930. How many boxes of each type were sold?

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Answers (1)

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Kameron Archer · Answer 1

70 standard boxes, 40 deluxe boxes

Step-by-step explanation:

standard: x

deluxe: y

x + y = 110

7x + 11y = 930

Multiply the first equation by 7 and subtract.

7x + 7y = 770

- (7x + 11y = 930)

You get - 4y = - 160

y = 40

Substitute y into the first equation.

x + 40 = 110

x = 70