Math Problem Statement

Mary had $60 and spent 3/4 of it for a coat. She then bought a skirt with 1/2 of the money she had left. How much money did she have left after buying her coat and skirt?

Solution

Let’s solve the problem step by step:

Problem Recap:

  • Mary started with $60.
  • She spent 3/4 of it on a coat.
  • She then bought a skirt with 1/2 of the remaining money.
  • We need to calculate how much money Mary has left after buying both the coat and the skirt.

Step 1: Amount spent on the coat

Mary spent 3/4 of $60 on the coat.

Amount spent on coat=34×60=45\text{Amount spent on coat} = \frac{3}{4} \times 60 = 45

So, after buying the coat, the money left is:

Money remaining=6045=15\text{Money remaining} = 60 - 45 = 15


Step 2: Amount spent on the skirt

Mary spent 1/2 of the remaining $15 on the skirt:

Amount spent on skirt=12×15=7.50\text{Amount spent on skirt} = \frac{1}{2} \times 15 = 7.50

So, after buying the skirt, the money left is:

Money remaining=157.50=7.50\text{Money remaining} = 15 - 7.50 = 7.50


Final Answer:

Mary has $7.50 left. The correct option is:

A. $7.50


Would you like me to explain any step in more detail or provide alternative methods?

Here are 5 related questions to expand your understanding:

  1. If Mary started with $80 instead of $60, how much would she have left?
  2. What if Mary spent 2/3 of her money on the coat instead of 3/4?
  3. How much would Mary have left if she spent 3/4 on the coat but 3/4 of the remaining money on the skirt?
  4. What percentage of her original $60 did Mary spend in total?
  5. How much money would Mary have left if she only bought the coat and skipped the skirt?

Tip:

When solving problems involving fractions, it's helpful to break them into smaller steps and calculate one operation at a time!

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Math Problem Analysis

Mathematical Concepts

Fractions
Subtraction
Money Calculation

Formulas

Fraction of an amount: (Fraction) × (Total Amount)
Remaining amount: Total - Spent

Theorems

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Suitable Grade Level

Grades 5-7