Aneesh C. answered • 01/17/21

Adept Math/Statistics/SAS Tutor: M.S Public Health, B.S Biology

Hi Emma,

First we must recognize that is a linear system of equations, so we can set them up as such:

1.75x + 2.50y = 612.50

x + y = 254

Our goal is to solve for either x or y, and then substitute that value to get the other value. We can do this either through the substitution or elimination method. Here, I will do it via the substitution method:

x + y = 254 --> x = 254 - y

1.75(254 - y) + 2.50y = 612.50

444.5 - 1.75y + 2.50y = 612.50

444.5 + 0.50y = 612.50

0.75y = 168

y = 168 / 0.75 = **224 adults**

Now we plug in this y value and solve for x (number of children):

x + (224) = 254

x = **30 children**

Therefore, **224 adults and 30 children** swam at the public pool that day.