Question

6) A delivery truck arrives at Roosevelt with 8 small boxes and 5 large boxes of classroom supplies. The total charge for the boxes, without tax or delivery charges, is $184. A large box costs $3 more than a small box. What is the cost of each size box? I

Answer 1

Step-by-step explanation:

Let the cost of delivering a small box = s

A large box costs $3 more than a small box, therefore:

• The cost of delivering a large box = s+3

There are 8 small boxes and 5 large boxes.

• The cost of 8 small boxes = 8s

,

• The cost of 5 large boxes =5(s+3)

Since the total charge for the boxes is $184.

`8s+5\mleft(s+3\mright)=184`

We then solve for s.

`\begin{gathered} 8s+5s+15=184 \\ 13s=184-15 \\ 13s=169 \\ s=(169)/(13) \\ s=\$13 \end{gathered}`

The cost of delivering a small box =$13.

Therefore, the cost of delivering a large box =13+3 =$16