Question

At Amy's candy store, small boxes (s) of chocolates contain 12 pieces, and large boxes (L) of chocolates

contain 45 pieces. A customer buys 8 boxes of chocolate containing a combined total of 195 pieces. Which
system of equations models this situation?

Answer 1

Explanation:

x = number of small boxes

y = number of large boxes

these equations model the situation :

x + y = 8

12x + 45y = 195

FYI - the solution :

from the first equation we get

x = 8 - y

we use that in the second equation

12(8 - y) + 45y = 195

96 - 12y + 45y = 195

33y = 99

y = 3

x = 8 - y = 8 - 3 = 5