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This equation shows how the total amount of paper Martha's office has recycled depends on the number of weeks since they started the new recycling plan. $\newline$ $p = 4w$ $\newline$ The variable $w$ represents the number of weeks the office has been on the new recycling plan, and the variable $p$ represents the total kilograms of paper recycled. After $5$ weeks, how many kilograms of paper will Martha's office have recycled? $\newline$ _____ kilograms

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Find a value using two-variable equations: word problems

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Q. This equation shows how the total amount of paper Martha's office has recycled depends on the number of weeks since they started the new recycling plan.

\newline

p = 4w

\newline

The variable

w

represents the number of weeks the office has been on the new recycling plan, and the variable

p

represents the total kilograms of paper recycled. After

5

weeks, how many kilograms of paper will Martha's office have recycled?

\newline

_____ kilograms

Identify variable: Identify the variable that $5$ weeks corresponds to: $w$ represents the number of weeks. So, $5$ weeks gives the value for $w$ .
Substitute value: We know that $w = 5$ . Plug in the value for $w$ in $p = 4w$ . $p = 4w$ . Substitute $w$ with $5$ . $p = 4 \times 5$
Solve for total: $p = 4 \times 5$ . Solve for $p$ . $p = 4 \times 5 = 20$ . Therefore, the total kilograms of paper recycled after $5$ weeks is $20$ .

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