The number of measles cases increased 14.6% to 33 cases this year, what was the number of cases prior to the increase? (Express your answer rounded correctly to the nearest whole number)

29 cases

Step-by-step explanation:

Number of measles cases increased by 14.6% to 33

Question is what was the number of cases prior to the increment.

There are possibly 2 ways to arrive to the answer:

-By multiplying 14% by 33

-By adding 14% to 100% and divide 33 with it.

We try both procedures.

14/100*33=4.62 (round it up)

33-4=29 (first procedure)

Second procedure is:

100%+14%=114%

Let the number of previous cases be X

114/100 * (X) = 33

1.14x=33

X=33/1.14

X=28.9 (round up to the nearest whole number)

X = 29

Answer: 28

Step-by-step explanation:

Number of cases = 33

Percentage increase = 14.6%

To get the number of cases the previous year, we find the increase from last year and subtract.

= 14.6% of 33

= 14.6/100 * 33

= 4.82

So, the increase was 4.82

To get last year number, we subtract 4.82 from 33.

33 - 4.82 = 28.18 which is approximately 28.