The number of measles cases increased 10.2% to 58 cases this year, what was the number of cases prior to the increase? (Express your answer rounded correctly to the nearest whole number)

There were approximately 53 cases of measles before the increase.

Step-by-step explanation:

Since there was an increase of 10.2% this means that the value we have now is the value we had prior plus the increase, in other words this is 100% of the cases before the increase plus 10.2%, so we have now 110.2% of cases. We know that this value represents 58 cases, so we can use a rule of three in order to determine the prior value. This is seen bellow:

100% -> x

110.2% -> 58

110.2*x = 100*58

x = 5800/110.2 = 52.63

Which is approximately 53 cases.

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step-by-step explanation:

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