Question

Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes of equal weight. Sergio lifted 12 boxes of equal weight, but Sergio's boxes each weighed 10 lb more than Caleb's boxes.

Together they lifted a total of 354 pounds.

What was the weight of one of Caleb's boxes?

Answer 1

Answer:

Step-by-step explanation:

Caleb = 14x

Sergio = 12y

Sergio's boxes each weighed 10 lb more than Caleb's boxes.

y = x + 10

The equation is

14x + 12y = 354

Substitute y = x + 10

14x + 12(x+10) = 354

14x + 12x + 120 = 354

26x = 354 - 120

26x = 234

Divide both sides by 26

x = 234/26

= 9

x = 9lb

Recall,

y = x + 10

= 9 + 10

y = 19lb

Check:

14x + 12y = 354

14(9) + 12(19)

= 126 + 228

= 354