Problem

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

Solution

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

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Source: https://solvelyapp.com/problems/bxpGxl2XPM/

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