23. The difference between $\frac{3}{5}$ of 80 and $30 \%$ of 80 is ...
a) 20
b) 24
c) 30
Answer (1)
Calculate 5 3 of 80: 5 3 × 80 = 48 .
Calculate 30% of 80: 0.3 × 80 = 24 .
Find the difference: 48 − 24 = 24 .
The difference between 5 3 of 80 and 30% of 80 is 24 .
Explanation
Understanding the Problem We need to find the difference between 5 3 of 80 and 30% of 80.
Calculating 3/5 of 80 First, let's calculate 5 3 of 80. This means we need to multiply 5 3 by 80: 5 3 × 80 = 5 3 × 80 = 5 240 = 48
Calculating 30% of 80 Next, let's calculate 30% of 80. This means we need to multiply 30% by 80. Remember that 30% is the same as 100 30 or 0.3. So, we have: 0.3 × 80 = 24
Finding the Difference Now, we need to find the difference between these two values, which means we subtract the second result from the first result: 48 − 24 = 24
Final Answer The difference between 5 3 of 80 and 30% of 80 is 24. Therefore, the correct answer is b) 24.
Examples
Understanding percentages and fractions is crucial in everyday life. For instance, when calculating discounts at a store, you often need to find a percentage of the original price. Similarly, when splitting a bill with friends, you might need to calculate fractions of the total amount to determine each person's share. These basic math skills help in making informed financial decisions and managing resources effectively.
