$33 \frac { 1 } { 3 } \%$ of what number is 69 ?
A) 46
B) 23
C) 210
D) 207
E) 138

Name: $33 \frac { 1 } { 3 } \%$ of what number is 69 ? A) 46 B) 23 C) 210 D) 207 E) 138
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Question

$33 \frac { 1 } { 3 } \%$   of what number is 69 ?
A) 46
B) 23
C) 210
D) 207
E) 138

Quizplus · Accepted Answer

We can start by converting the percentage to a fraction:

$$33 \frac{1}{3}\% = \frac{33 \frac{1}{3}}{100} = \frac{100}{3}\div 100 = \frac{1}{3}$$

Let x be the number we are looking for. We can set up the equation:

$$\frac{1}{3} 	imes x = 69$$

Multiplying both sides by 3:

$$x = 69 	imes 3 = 207$$

Therefore, the best choice is D, 207.

3313%33 \frac { 1 } { 3 } \%3331​% Of What Number Is 69 ? A) 46 B) 23