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Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by
b+2c+3j, where
b is the number of hours Ben spends chopping,
c is the number of hours Cam spends chopping, and
j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?

Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by $b+2 c+3 j$ , where $b$ is the number of hours Ben spends chopping, $c$ is the number of hours Cam spends chopping, and $j$ is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends $8$ hours chopping, Cam spends $3$ hours chopping, and Justin spends $4$ hours chopping?

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Counting principle

Full solution

Q. Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by

b+2 c+3 j

, where

b

is the number of hours Ben spends chopping,

c

is the number of hours Cam spends chopping, and

j

is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends

8

hours chopping, Cam spends

3

hours chopping, and Justin spends

4

hours chopping?

Identify variables and values: Let's identify the variables and their corresponding values: $\newline$ $b =$ number of hours Ben spends chopping $= 8$ $\newline$ $c =$ number of hours Cam spends chopping $= 3$ $\newline$ $j =$ number of hours Justin spends chopping $= 4$ $\newline$ The formula for the number of trees chopped down is $b + 2c + 3j$ .
Substitute values into formula: Now, let's substitute the values into the formula: $\newline$ Number of trees chopped down = $b + 2c + 3j$ $\newline$ Number of trees chopped down = $8 + 2(3) + 3(4)$
Perform calculations within parentheses: Next, we perform the calculations within the parentheses first: $\newline$ Number of trees chopped down = $8 + 2 \times 3 + 3 \times 4$ $\newline$ Number of trees chopped down = $8 + 6 + 12$
Add up all numbers: Finally, we add up all the numbers to find the total number of trees chopped down: $\newline$ Number of trees chopped down = $8 + 6 + 12$ $\newline$ Number of trees chopped down = $26$

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