Which expressions can you use to find $75 \%$ of 56? Check all that apply.
$0.25 \times 56$
$\frac{3}{4} \times 56$
$0.75 \times 56$
$\frac{1}{4} \times 56$
$3 \times 14
Answer (2)
The expressions that can be used to find 75% of 56 are 4 3 × 56 , 0.75 × 56 , and 3 × 14 . Other expressions do not represent 75%. Each of these valid expressions equals 42, which is 75% of 56.
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Calculate 75% of 56, which equals 42.
Evaluate the expression 4 3 × 56 , which equals 42.
Evaluate the expression 0.75 × 56 , which equals 42.
Evaluate the expression 3 × 14 , which equals 42. The expressions that can be used to find 75% of 56 are: 4 3 × 56 , 0.75 × 56 , and 3 × 14 .
Explanation
Understanding the Problem We need to determine which of the given expressions are equivalent to finding 75% of 56. From the table, we know that 25% = 0.25 = 4 1 and 100% corresponds to 56, where 25% corresponds to 14. Also, 75% = 3 * 25% = 4 3 = 0.75.
Calculating 75% of 56 First, let's calculate 75% of 56. We can express 75% as 0.75 or 4 3 . Therefore, we need to calculate 0.75 × 56 or 4 3 × 56 .
Evaluating the Expressions Now, let's evaluate each of the given expressions:
0.25 × 56 = 14
4 3 × 56 = 42
0.75 × 56 = 42
4 1 × 56 = 14
3 × 14 = 42
Identifying Equivalent Expressions Comparing the value of each expression with 75% of 56, which is 42, we can identify the equivalent expressions:
4 3 × 56 = 42
0.75 × 56 = 42
3 × 14 = 42 Therefore, the expressions that can be used to find 75% of 56 are 4 3 × 56 , 0.75 × 56 , and 3 × 14 .
Examples
Imagine you're planning a party and need to calculate how much pizza to order. If you know that each pizza has 8 slices and you want to order enough for 75% of your 56 guests to have one slice each, you would need to find 75% of 56. This problem demonstrates how calculating percentages can help you in everyday situations like party planning, budgeting, or understanding discounts while shopping. By understanding percentages, you can make informed decisions and manage resources effectively.
