Question

I'm very confused, can someone help explain?

Your schools talent show will feature 12 solo acts and ensemble 2 acts. The show will last 90 min. The 6 solo performers judged best will give a repeat performance at a second 60-min show, which will also feature the 2 ensemble acts. Each solo lasts x minutes, and each ensemble act lasts y minutes.
A. Write a system of equations to model the situation.
B. Solve the system from part(a). How long is each solo act? How long is each ensemble act?

Answer 1

12x+2y=90

Answer 2

6x+2y=60

Answer 3

second eq.
2y=60-6x
12x+(60-6x)=90
12x-6x=90-60
6x=30
x=30/5=5 min
2y=60-6(5)
2y=60-30
2y=30
y=30/2=15 min

Answer 4

^^^^

Answer 5

thanks!