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.

Question

Mathematics

Luke Daniels

24 October, 14:34

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.

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Answers (1)

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Alina Johnston · Answer 1

S can be the time on soccer, V can be volleyball.

S+V=10, similarly, S=2V+1, so we can sub 2V+1 into the first equation where we see S,

(2V+1) + V=10

3V+1=10

3V=9

V=3, so 3 hours on volleyball. Then, we can sub that in to one of our other equations, S+3=10, so S=7.