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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)

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Answer:

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.

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