SOLUTION: in how many years will there be 2 times as many students majoring in engineering than in business. Engineering = 120 enrolled in major 22 more students each year Business = 105

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Question 361883: in how many years will there be 2 times as many students majoring in engineering than in business.
Engineering = 120 enrolled in major 22 more students each year
Business = 105 enrolled in major 4 fewer students each year
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x is the number of years.

today there are 120 enrolled in engineering.
today there are 105 enrolled in business.

annual change in engineering students is + 22 per year.

annual change in business students is - 4 per year.

your equation is:

120 + (22*x) = 2 * (105 - 4*x)

expand both sides of the equation to get:

120 + 22*x = 210 - 8*x

subtract 120 from both sides of the equation and add 8*x to both sides of the equation to get:

30*x = 90

divide both sides of the equation by 3 to get:

x = 3

this should happen in 3 years.

in 3 years there will be 120 + 66 = 186 students enrolled in engineering.

in 3 years there will be 105 - 12 = 93 students enrolled in business.

186 is equal to 2 * 93.

number of years is 3 is your answer.