Martha and Nabeel share £120. Martha gets 72% of the money. She spends 30% of the money she gets. How much money does Martha have left?
Understand the Problem
The question is asking for the remaining amount of money Martha has after spending a portion of what she receives from a total of £120. To solve this, we will first calculate how much money Martha gets and then determine how much she spends before finding the amount remaining.
Answer
Martha has £60.48 left.
Answer for screen readers
Martha has £60.48 left.
Steps to Solve
- Calculate Martha's Share of the Money
To find out how much money Martha gets, we calculate 72% of £120. [ \text{Martha's money} = 120 \times \frac{72}{100} = 120 \times 0.72 = £86.40 ]
- Calculate How Much Martha Spends
Next, we need to find out how much of that money Martha spends, which is 30% of her share. [ \text{Amount spent} = 86.40 \times \frac{30}{100} = 86.40 \times 0.30 = £25.92 ]
- Determine the Remaining Amount
Finally, to find out how much money Martha has left, we subtract the amount she spent from her total share. [ \text{Amount left} = 86.40 - 25.92 = £60.48 ]
Martha has £60.48 left.
More Information
Martha received 72% of the total £120, which is £86.40. By spending 30% of that amount (£25.92), she ends up with £60.48 left. This demonstrates how percentages can be applied in budgeting or financial situations.
Tips
- Confusing percentage calculations, such as calculating 30% of £120 instead of 30% of what Martha receives.
- Miscalculating the subtraction step when finding the remaining amount.
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