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The equation shows how the amount of paint needed is related to the area to be painted. $p = 2a + 5$ . The variable $a$ represents the area in square meters, and the variable $p$ represents the amount of paint in liters. How much paint is needed for an area of $8$ square meters?

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Find a value using two-variable equations: word problems

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Q. The equation shows how the amount of paint needed is related to the area to be painted.

p = 2a + 5

. The variable

a

represents the area in square meters, and the variable

p

represents the amount of paint in liters. How much paint is needed for an area of

8

square meters?

Identify value for a: Identify the value for a. $a$ represents the area in square meters, so $a = 8$ .
Plug in value: Plug in the value for $a$ into the equation $p = 2a + 5$ . $p = 2 \times 8 + 5$
Calculate paint needed: Calculate the amount of paint needed. $\newline$ $p = 2 \times 8 + 5$ $\newline$ $p = 16 + 5$ $\newline$ $p = 21$

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