Answer:
From the information given
x is time for which she ran at speed of 6mi/h and
y is time for which she biked at speed of 12.5 mi/h
total time = 3.5 h
total distance = 34 mi
so
6x + 12.5y = 34 and
x + y = 3.5
x = 3.5 - y
6 ( 3.5 - y) + y = 34
6.5y = 13 which gives
y = 2 and this
x = 1.5
so suze ran for 1.5 h and biked for 2 h
CHECK
speed of run X time of run + speed of biking x time of biking must be = total distance covered
6 × 1.5 + 12.5 × 2 = 9 + 25= 34 mi
which is true
I believe its c i might be wrong
Answer:
Bo teaches 20 classes per week.
Erica teaches 28 classes per week.
Step-by-step 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 :)
