Math Problem Statement
Question
Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted.
Let s represent the weight of the boxes that Steven lifted.
Which expression represents the total number of pounds Nathan lifted?
Responses
s + 12
s + 12
12(s+13)
12 left parenthesis s plus 13 right parenthesis
15(s+12)
15 left parenthesis s plus 12 right parenthesis
13(s+12)
Solution
Nathan lifted 13 boxes, and each of those boxes weighed 12 pounds more than the boxes Steven lifted. If the weight of each box that Steven lifted is represented by s, then the weight of each box Nathan lifted is s + 12.
To find the total weight of the boxes Nathan lifted, you multiply the number of boxes Nathan lifted (13) by the weight of each box he lifted (s + 12).
Thus, the expression that represents the total weight Nathan lifted is:
The correct answer is:
13(s + 12)
Would you like further details or clarifications?
Here are 5 related questions:
- How would you calculate the total weight lifted by Steven?
- If Steven’s boxes weigh 20 lbs, what is the weight of Nathan’s boxes?
- What is the total weight Nathan lifted if Steven’s boxes weigh 18 lbs each?
- How would the total weight change if Nathan lifted 10 boxes instead of 13?
- What is the difference in total weight lifted by Nathan and Steven?
Tip: Always double-check the relationship between the variables before setting up your equation, especially in word problems involving comparisons.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Word Problems
Formulas
Total weight = Number of boxes × (Weight per box)
Weight of Nathan's boxes = s + 12
Theorems
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Suitable Grade Level
Grades 6-8