Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each weighed 10 lb more than the boxes Caleb lifted.

Question

Let c represent the weight of each box Caleb lifted.

Which expression represents the total number of pounds Sergio lifted?

Responses

120c
120 c

10(c−12)
10 left parenthesis c minus 12 right parenthesis

12(c+10)
12 left parenthesis c plus 10 right parenthesis

c + 10
c + 10

Answer 1

To find the expression that represents the total number of pounds Sergio lifted, we can start by determining the weight of each box Sergio lifted.

Given:

• Let \( c \) be the weight of each box Caleb lifted.
• The weight of each box Sergio lifted is \( c + 10 \) (since Sergio's boxes are 10 lb heavier).

Sergio lifted 12 boxes, so the total weight of the boxes Sergio lifted can be calculated as follows:

\[ \text{Total weight lifted by Sergio} = \text{Number of boxes Sergio lifted} \times \text{Weight of each box Sergio lifted} \]

This gives us:

\[ \text{Total weight lifted by Sergio} = 12 \times (c + 10) \]

Thus, the correct expression that represents the total number of pounds Sergio lifted is:

\[ 12(c + 10) \]

Therefore, the correct response is:

12(c + 10)