If $60 \%$ of a number is 42 , what is $50 \%$ of the same number?
(A) 25
(B) 28
(C) 30
(D) 35
(E) 40
Solution 1

Since $60 \%$ of the number equals 42 , then $1 \%$ of the number equals $\frac{42}{60}$.

Therefore $50 \%$ of the number equals $50 \times \frac{42}{60}$ or 35 .

ANSWER: (D)

## Solution 2

Let $x$ represent the number.

Then $0.6 x=42$

$$
x=70
$$

Thus, $50 \%$ of the number is $0.5(70)=35$.

ANSWER: (D)