Question

Seventy-five percent of a number is 15 more than two-thirds of that number. Find the number.

• A. 120
• B. 150
• C. 180
• D. 210

Answer 1

Answer:

C. 180

Let the number be (x).

According to the question:

$75\% \text{ of }x = \frac{2}{3}x + 15$

$\frac{75}{100}x=\frac{2}{3}x+15$

$\frac34x-\frac23x=15$

LCM of 3 and 4 is 12:

$\frac{9x-8x}{12}=15$

$\frac{x}{12}=15$

x=180