Class 6 must collect at least $430 so that the band will receive $2,000.
Step-by-step explanation:
Step 1:
The band will receive $2,000 for selling $12,000 worth of coupon books.
6 band classes collect money by the sales drive. We need to determine the money that they need to collect so that the band will receive $2,000.
If they want the band to receive $2,000 they must sell coupon books worth $12,000.
Step 2:
Class 1 collects $2,400.
Class 2 collects $2,800.
Class 3 collects $1,500.
Class 4 collects $2,320.
Class 5 collects $2,550.
Assume class 6 collects $x.
The inequality will be: [tex]2,400+2,800+1,500+2,320+2,550+x \geq 12,000.[/tex]
[tex]x\geq 12,000 - 11,570 = 430.[/tex]
So class 6 must collect at least $430 so that the band will receive $2,000.
P.S. Class 1 should have collected $2,400 not $24,000 or else class A would have raised $4,000 by itself.
