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This equation shows how the amount of tape Gordon has used is related to the number of presents he has wrapped. $\newline$ $t = 3p$ $\newline$ The variable $p$ represents the number of presents wrapped, and the variable $t$ represents the amount of tape used in centimeters. How much tape will Gordon need in all if he has to wrap $6$ presents? $\newline$ _____ centimeters

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Find a value using two-variable equations: word problems

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Q. This equation shows how the amount of tape Gordon has used is related to the number of presents he has wrapped.

\newline

t = 3p

\newline

The variable

p

represents the number of presents wrapped, and the variable

t

represents the amount of tape used in centimeters. How much tape will Gordon need in all if he has to wrap

6

presents?

\newline

_____ centimeters

Identify Variable: Identify the variable that $6$ presents correspond to. $p$ represents the number of presents wrapped, so $6$ presents gives the value for $p$ .
Substitute Value: We know that $p = 6$ . Plug in the value for $p$ in $t = 3p$ . $t = 3p$ . Substitute $p$ with $6$ . $t = 3 \times 6$
Solve for Total Tape: $t = 3 \times 6$ . Solve for $t$ . $t = 3 \times 6 = 18$ . Therefore, the total amount of tape Gordon will need for $6$ presents is $18$ centimeters.

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