The percent of working students increased 11.7% to 51.3%, what was the percent prior to the increase

Let the prior percentage be

If we add 11.7% to  , we get 51.3%.

That is  .

This is a linear equation in  , so we solve for x to obtain,

Therefore the prior percentage was 39.6%

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step-by-step explanation:

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.