Question
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)
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)
Answers
roseee
i chose a for part a, but i need help with the ordered pair then
oobleck
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
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