Question

Create a proportion using the form %/100 = is/of = to represent the following word problem. 78% of what number is 42?

Answer 1

Answer:

.78 x = 42

x = 42 / .78

The number is 53.8461538462

Step-by-step explanation:

Answer 2

Answer:

$x\approx 53.85$

Step-by-step explanation:

If 78% of x (some number) is equal to 42, then We must set this as an equation to find it.

1) Rewriting 78% as a fraction. And considering that when We say 78% of some number (x) we mean a product.

$78\%=\frac{78}{100}\Rightarrow \frac{78}{100}x=42$

2) Then we can go on:

$100*\frac{78}{100}x= 42*100\\\\78x=4200\\ \\\frac{78x}{78}=\frac{4200}{78}\Rightarrow x\approx 53.85$

3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result:

$\frac{42}{0.78}\approx 53.85$