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Pick the story that can be modeled by the equation $\frac{x}{5} = 15$ . $\newline$ Choices: $\newline$ (A)Leah and her friends went out to dinner last night. Including tip, the bill came out to $x$ dollars. The group split the bill evenly among the $5$ of them. They each paid $\$15$ . $\newline$ (B)Leah and her friends went out to dinner last night. Leah's meal cost $x$ dollars, but she used a $\$5$ coupon. Leah only spent $\$15$ on her meal.

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Evaluate two-variable equations: word problems

Full solution

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

\frac{x}{5} = 15

.

\newline

Choices:

\newline

(A)Leah and her friends went out to dinner last night. Including tip, the bill came out to

x

dollars. The group split the bill evenly among the

5

of them. They each paid

\$15

.

\newline

(B)Leah and her friends went out to dinner last night. Leah's meal cost

x

dollars, but she used a

\$5

coupon. Leah only spent

\$15

on her meal.

Identify Equation: Identify the equation and what it represents: $\frac{x}{5} = 15$ . This equation means $x$ divided by $5$ equals $15$ .
Solve for x: Solve for x to understand the context of the equation: Multiply both sides by $5$ to isolate $x$ . $x = 15 \times 5$ .
Calculate $x$ : Calculate $x$ : $x = 75$ . This means $x$ , which represents a total or cost in the context, is $75$ .
Match to Story Option: Match the calculated value of $x$ to the correct story option: $\newline$ Option (A) states that the total bill $x$ was split among $5$ people, each paying $\$15$ . This fits the equation $\frac{x}{5} = 15$ , as substituting $x = 75$ gives $\frac{75}{5} = 15$ . $\newline$ Option (B) describes Leah using a coupon and spending $\$15$ , which does not fit the form $\frac{x}{5} = 15$ .

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