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Pick the story that can be modeled by the equation $5x = 75$ . $\newline$ Choices: $\newline$ (A)Mabel tracks her reading for homework. Last night, she started a new book with $75$ pages. So far, she's read $5$ pages and has $x$ pages left. $\newline$ (B)Mabel tracks her reading for homework. Every night for $5$ nights straight, she read for $x$ minutes before bed. Mabel read for $75$ minutes in all.

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Find a value using two-variable equations: word problems

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Q. Pick the story that can be modeled by the equation

5x = 75

.

\newline

Choices:

\newline

(A)Mabel tracks her reading for homework. Last night, she started a new book with

75

pages. So far, she's read

5

pages and has

x

pages left.

\newline

(B)Mabel tracks her reading for homework. Every night for

5

nights straight, she read for

x

minutes before bed. Mabel read for

75

minutes in all.

Identify Equation Components: Identify the equation and its components: $5x = 75$ . Here, $5$ and $x$ are multiplied to give $75$ .
Examine Choice (A): Examine Choice (A): Mabel has $75$ pages total, read $5$ pages, and has $x$ pages left. This suggests a subtraction model, not multiplication.
Examine Choice (B): Examine Choice (B): Mabel reads for $x$ minutes each night over $5$ nights, totaling $75$ minutes. This fits the multiplication model of $5x = 75$ .
Verify Equation with Choice (B): Verify the equation with Choice (B): If $x$ is the number of minutes per night, then $5$ nights of reading $x$ minutes each should total $75$ minutes. Calculate $x$ : $x = \frac{75}{5} = 15$ .

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