Answer the following questions.
(a) $32.5 \%$ of 38.4 is what?
(b) $315 \%$ of what number is 82.53 ?

Answer

Expert–verified

Hide Steps

Answer

$\boxed{26.2}$ is the number that 315% of it equals 82.53

Steps

Step 1 ：Convert 32.5% to decimal form: $32.5\% = 0.325$

Step 2 ：Multiply 38.4 by 0.325 to find 32.5% of 38.4: $38.4 \times 0.325 = 12.48$

Step 3 ：$\boxed{12.48}$ is 32.5% of 38.4

Step 4 ：Convert 315% to decimal form: $315\% = 3.15$

Step 5 ：Set up the equation 3.15x = 82.53 to find the number that 315% of it equals 82.53

Step 6 ：Solve for x: $x = \frac{82.53}{3.15} = 26.2$

Step 7 ：$\boxed{26.2}$ is the number that 315% of it equals 82.53