X.3 Evaluate two-variable equations: word problems

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

p = w + 49

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

1 answer

To find out how many kilograms of paper Linda's office will have recycled after 49 weeks, we can use the given equation:

\[ p = w + 49 \]

Here, \( w \) represents the number of weeks, and we want to substitute \( w = 49 \) into the equation to find \( p \):

\[ p = 49 + 49 \]

Now, we can calculate:

\[ p = 98 \]

So, after 49 weeks, Linda's office will have recycled 98 kilograms of paper.