Question

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?

Answer 1

70 standard boxes, 40 deluxe boxes

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