Question

When a number is decreased by 79% the result is 13 what is the original number to the nearest tenth

Answer 1

Answer:

The number  is 61.9

Step-by-step explanation:

Let

x ----> the original number

Remember that

$100\%-79\%=21\%=\frac{21}{100}$

we know that

The original number multiplied by the fraction 21/100 must be equal to the number 13

so

The linear equation that model this situation is

$\frac{21}{100}x=13$

solve for x

Multiply by 100 both sides

$21x=1,300$

Divide by 21 both sides

$x=\frac{1,300}{21}=61.9$