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Joey ran a total of $12$ miles over the course of $3$ track practices. How many miles would Joey have run after $4$ track practices? Assume the relationship is directly proportional. $\newline$ $\newline$ cent____ miles

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Solve proportions: word problems

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Q. Joey ran a total of

12

miles over the course of

3

track practices. How many miles would Joey have run after

4

track practices? Assume the relationship is directly proportional.

\newline

\newline

cent____ miles

Identify total distance: Step $1$ : Identify the total distance Joey ran in $3$ practices and set up the proportion for $4$ practices. $\newline$ ● Total distance in $3$ practices: $12$ miles $\newline$ ● Total distance in $4$ practices: $x$ $\newline$ Set up the proportion: $\newline$ $\frac{12}{3} = \frac{x}{4}$
Set up proportion: Step $2$ : Cross-multiply to find $x$ . $12 \times 4 = 3 \times x$ $48 = 3x$
Cross-multiply to find x: Step $3$ : Solve for x. $\newline$ $48 = 3x$ $\newline$ $\frac{48}{3} = x$ $\newline$ $16 = x$

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