# math

Your​ school's talent show will feature 12 solo acts and 3 ensemble acts. The show will last 111 minutes. The 6 solo performers judged best will give a repeat performance at a second 75 minute​ show, which will also feature the 3 ensemble acts. Each solo act lasts x​ minutes, and each ensemble act lasts y minutes. Use this information to answer parts ​(a) and ​(b).

Write a system of equations to model the situation.
A.
12 x plus 3 y
equals
111
6 x plus 3 y
equals
75

B.
3 x plus 12 y
equals
75
3 x plus 6 y
equals
111

C.
12 x plus 3 y
equals
75
6 x plus 3 y
equals
111

D.
3 x plus 12 y
equals
111
3 x plus 6 y
equals
75

olve the system from part ​(a).
nothing ​(Type an ordered​ pair.)
How long is each solo​ act?
nothing ​minute(s)
How long is each ensemble​ act?
nothing ​minute(s)

1. 👍
2. 👎
3. 👁
1. i chose a for part a, but i need help with the ordered pair then

1. 👍
2. 👎
2. A is correct, but do you have a problem with + and - and = signs?
12x+3y = 111
6x+3y = 75
clearly the only difference here is the extra 6 solos, so subtract to get
6x = 36
x = 6
Now you can find y

1. 👍
2. 👎
👤
oobleck

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