Strawberry Question

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 $12. In one day the stand sold 135 boxes of strawberries for a total of $1,245. How many boxes of each type were sold?

Answer 1

Hello Aja,

Let s be the number of boxes of standard strawberries

Let d be the number of boxes of deluxe strawberries

This sentence "In one day the stand sold 135 boxes of strawberries for a total of $1,245" contains the info we need to set up the 2 equations:

135 boxes of strawberries sold -----> s + d = 135 (#1)

strawberries sold for a total of $1,245 -------> 7s + 12d = 1245 (#2)

Multiply equation #1 by -7 so you can add it to the equation #2 and eliminate s:

-7s - 7d = -945

7s + 12d = 1245

Adding both equations ---> 5d = 300

Divide by 5 ---> d = 60, meaning 60 boxes of deluxe strawberries were sold.

Recall 135 total boxes were sold. 60 of those were deluxe boxes, so you can figure out how many boxes of standard strawberries were sold.