Question

The number of measles cases increased 13.6 % to 57 cases this year, what was the number of cases prior to the increase? (Express your answer rounded correctly to the nearest whole number)

Answer 1

The number of cases prior to the increase is 50.

Explanation:

It is given that the number of measles cases increased by 13.6% and the number of cases after increase is 57.

We need to find the number of cases prior to the increase.

Let x be the number of cases prior to the increase.

x + 13.6% of x = 57

`x+x* (13.6)/(100)=57`

`x+0.136x=57`

`1.136x=57`

Divide both the sides by 1.136.

`(1.136x)/(1.136)=(57)/(1.136)`

`x=50.176`

`x\approx 50`

Therefore the number of cases prior to the increase is 50.