(20 points)
amber coaches soccer and volleyball. she coaches both sports for a total of 10 h each day. the soccer practice lasts 1 h 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? show your work.

A) for your system of equations, you use the facts you know. we know that she does a total of 10h coaching each sport, so:
v + s = 10
and we know that she spends 1h more than twice as long coaching soccer as volleyball:
s = 2v + 1
b) we can solve our system of equations. first we change the subject of the first one to v:
v = 10 - s
substitute it into the second
s = 2(10 - s) + 1 and then solve
s = 20 - 2s + 1
s = 21 - 2s
3s = 21
s = 7
then substitute s into the first equation:
v + 7 = 10
v = 3

make sense?