Answer:
The number of boxes of candy sold are:
40 small boxes and
12 large boxes of candy.
Step-by-step explanation:
Let the number of small boxes sold = x
Let the number of large boxes sold = y
we are given the following information:
x + y = 52 - - - - - -(1) (Chara sold 52 boxes of candy)
3.5(y) + 1.75(x) = 112 - - - - - - (2) (Chara sold $112 worth of candy)
From the two equations above, x and y can be solved as follows:
x + y = 52 - - - - - -(1)
x = 52 - y - - - - - - (3)
putting the value if x in equation (3) to replace x in equation (2);
3.5(y) + 1.75(x) = 112 - - - - - - (2)
3.5(y) + 1.75(52 - y) = 112
3.5y + 91 - 1.75y = 112
(3.5y - 1.75y) + 91 = 112
1.75y = 112 - 91 = 21
y = 21 ÷ 1.75 = 12
y = 12
Now, let us put the value of y into equation (3)
x = 52 - y - - - - - - (3)
x = 52 - 12 = 40
Therefore,
40 small boxes and 12 large boxes of candy were sold.
