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)
2 answers
i chose a for part a, but i need help with the ordered pair then
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
1 answer