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. let c represent the weight of each box caleb lifted. which expression represents the total number of pounds sergio lifted? a. 10(c−12) b. 120c c. 12(c+10) d. c + 10

An expression to represents the total number of pounds Sergio lifted is 12(c + 10)

Given:

Number of boxes Caleb lifted = 14

Number of boxes Sergio lifted = 12

Weight of boxes Caleb lifted = c lb

Weight of boxes Sergio lifted = (c + 10) lb

Total number of pounds Caleb lifted = Number of boxes Caleb lifted × Weight of boxes Caleb lifted

= 14 × c

= 14c

Total number of pounds Sergio lifted = Number of boxes Sergio lifted × Weight of boxes Sergio lifted

= 12(c + 10)

Therefore, an expression to represents the total number of pounds Sergio lifted is 12(c + 10)

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Option C.

Step-by-step explanation:

Given information:

Number of boxes lifted by Caleb = 14

Number of boxes lifted by Sergio = 12

Let c represent the weight of each box Caleb lifted.

It is given that the boxes that Sergio lifted each weighed 10 lb more than the boxes Caleb lifted. It means

The weight of each box Sergio lifted = c+10

The total number of pounds Sergio lifted is the product of number of boxes lifted by Sergio and the weight of each box lifted by Sergio.

The required expression is 12(c+10). Therefore, the correct option is C.

it is contrapositive

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