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 $13. In one day the stand sold 135 boxes of strawberries for a total of $1,275. How many boxes of each type were sold?

d = 55 boxes of deluxe

s = 135 - 55 = 80 boxes of standard

Step-by-step explanation:

This is a system of equations.

Let s = number of standard boxes

d = number of deluxe boxes

s + d = 135 sold

7s + 13d = $1275

we can use substitution

s = 135 - d

7 * (135 - d) + 13 d = 1275

945 - 7d + 13d = 1275

6d = 330

d = 55 boxes of deluxe

s = 135 - 55 = 80 boxes of standard