Answer:
The number of boxes of candy sold is 4
The number of rolls of wrapping paper sold is 10
Step-by-step explanation:
Let x = number of boxes of candy that was sold.
Let y = number of rolls of wrapping paper was sold.
The candy sells for 8 dollars per box and the wrapping paper sells for 6 dollars per roll. This means that x boxes of candy and y rolls of wrapping paper will be sold for
$(8x + 6y)
If you have sold 14 items, and collected 92 dollars, this means that
x + y = 14
8x + 6y = 92 - - - - - - -1
Substituting x = 14 - y into equation 1, it becomes
8(14-y) + 6y = 92
112 - 8y + 6y = 92
- 8y + 6y = 92 - 112
-2y = -20
y = 20/2 = 10
x = 14 - y
x = 14 - 10
x = 4
The number of boxes of candy sold is 4.
The number of rolls of wrapping paper sold is 10.
