For moving purposes, the Hendersons bought 25 cardboard boxes for $117.50. There were two kinds of boxes; the large ones cost $6.50 per box and the small ones were $4 per box. How many boxes of each kind did they buy?
A) 12 large boxes and 13 small boxes
B) 7 large boxes and 18 small boxes
C) 18 large boxes and 7 small boxes

Question

Quizplus · Accepted Answer

Let's say the number of large boxes bought is 'x' and the number of small boxes bought is 'y'. We can form two equations from the given information:
x + y = 25   --- equation 1
6.5x + 4y = 117.5   --- equation 2
Multiplying equation 1 by 4, we get:
4x + 4y = 100   --- equation 3
Subtracting equation 3 from equation 2, we get:
2.5x = 17.5
x = 7
Substituting the value of x in equation 1, we get:
7 + y = 25
y = 18
Therefore, the Hendersons bought 7 large boxes and 18 small boxes.

For Moving Purposes, the Hendersons Bought 25 Cardboard Boxes for $117.50