Question

Bo and Erica are yoga instructors. Between the two of them, they teach 48 yoga classes each week. If Erica teaches 12 fewer than twice as many as Bo, how many classes does each instructor teach per week?

Answer 1

Answer:
Bo teaches 20 classes per week.
Erica teaches 28 classes per week.
Explanation:
Let x= yoga classes taught by Bo
and y=yoga classes taught by Erica
We get the following system of equations
x+y=48 (equation 1)
y=2x-12 (equation 2)
Solve the system of equation:
Using equation 1:
x=48-y
Substitute x in equation 2:
y=2(48-y)-12
=96 - 2y - 12
2y+y=84
3y=84
y=84/3 =28
Substitute in equation 1:
x+28=48
x=48-28=20
So Bo teaches 20 classes per week and Erica teaches 28 classes per week.
Hope this helps :)