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answer the following questions. (a) 85% of what number is 68? (b) what …

Question

answer the following questions.
(a) 85% of what number is 68?
(b) what percent of 56 is 42?

Explanation:

Step1: Define unknown for (a)

Let the number be $x$. Set up equation: $0.85x = 68$

Step2: Solve for $x$ (a)

$x = \frac{68}{0.85}$

Step3: Define unknown for (b)

Let the percent be $p$. Set up equation: $\frac{p}{100} \times 56 = 42$

Step4: Solve for $p$ (b)

$p = \frac{42}{56} \times 100$

Answer:

(a) 80
(b) 75%