You sold 52 boxes of candy for your marching band fundraiser. The large size box costs $3.50 each and the small size box costs $1.75 each. If you sold $112.00 worth of candy, how many boxes of each size did you sell?
Let x = # larger box
then 52 - x = # smaller boxes
3.50 * x + 1.75 * (52-x) = 112
3.5x - 1.75x + 91 = 112
1.75x = 21
x = 12 = # larger boxes 52-12 = 40 = # smaller boxes