Question

Amber coaches soccer and volleyball. She coaches both sports for a total of 10 hours each day. The soccer practice lasts 1 hour more than twice as long as the volleyball practice.

a). Write a system of equations to model the situation. Use v for the number of hours Amber coaches volleyball in a day and s for the number of hours she coaches soccer.
b). How many hours each day does Amber spend coaching each sport?

Answer 1

Explanation:

Amber coaches both sports for 7 hours each day

v = volleyball hours

s = soccerball hours

7 hours in total, in which soccerball is 1 hour more than volleyball:

v + s = 7

s = v + 1

plug in v + 1 for s

v + s = 7

v + (v + 1) = 7

simplify

v + v + 1 = 7

2v + 1 = 7

2v + 1 (-1) = 7 (-1)

2v = 6

2v/2 = 6/2

v = 6/2

v = 3

Plug in 3 for v for one of the equations.

s = v + 1

s = (3) + 1

s = 4

Amber coaches 3 hours for volleyball, and 4 hours for soccer, making a total of 7 hours becuase 4+3 equals 7

hope this help :DDDDD