A woman allocated 35 of her weekly income for rent and then used 14 of what was left for groceries, resulting in 60 left for other costs. What is the woman's weekly income?

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PS · Problem Solving

505-555

Fractions/Ratios/Decimals

A woman allocated $\frac{3}{5}$ of her weekly income for rent and then used $\frac{1}{4}$ of what was left for groceries, resulting in $60 left for other costs. What is the woman's weekly income?

Answer Choices

Correct answer marked below

A

$180

$200

Correct

C

$300

D

$360

E

$420

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A

ArunFeb 9, 2025

Love how you solved this

W

willeOct 7, 2024

thanks a lot

What this question tests

What it tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Common trap

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.

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A woman allocated 35\frac{3}{5}53​ of her weekly income for rent and then used 14\frac{1}{4}41​ of what was left for groceries, resulting in $60 left for other costs. What is the woman's weekly income?