Expenses and Savings

Algebra Level 3

Jayla's weekly take-home pay is $m$ dollars. Each week she uses $\frac 78m$ dollars on expenses and saves the rest. At these rates, how many weeks will it take for Jayla to save $750, in terms of $m$ ?

\frac{2625}{4m}

\frac{6000}{m}

6000m

\frac{325}{m}

\frac{750}{m}

1 solution

Tom Engelsman
Sep 21, 2017

Let Jayla's net income be $N = (1 - \frac{7}{8})m = \frac{m}{8}$ dollars. Let $x$ be the number of weeks needed to save $\$750$ , which is expressible as:

$x \cdot N = x \cdot \frac{m}{8} = 750 \Rightarrow x = \frac{(750)(8)}{m} = \boxed{\frac{6000}{m}}.$

Thank you for the nice solution.

Hana Wehbi - 3 years, 8 months ago

Expenses and Savings

1 solution

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