Question

Grace and Olivia are playing puzzles. Grace asks, "75% of a number is 16 less than four-fifths of that number. What is the number?" Help Olivia find the answer.

• A. 230
• B. 300
• C. 420
• D. 320

Answer 1

The correct option is D 320

Let x be the number.

It is given that 75% of the number is 16 less than four-fifths of that number.

Hence, we have:

$\frac{4}{5}\times x–\frac{75}{100}\times x=16$

$\Rightarrow \frac{4}{5}\times x–\frac{3}{4}\times x=16$

$\Rightarrow \frac{16–15}{20}\times x=16$

$\Rightarrow x=20\times 16$

$\Rightarrow x=320$

Hence, the number is 320.