42 spectators and some performers donated a total of $4500 for a donation drive. Each spectator donated $100 more than each performer. If there were 24 more spectators than performers, how much more money did the spectators donate than the performers?
| |
Spectators |
Performers |
Total |
Difference |
| Number |
42 |
18 |
|
|
| Value |
1 u + 100 |
1 u |
|
|
| Total value |
42 u + 4200 |
18 u |
60 u + 4200 |
24 u + 4200 |
Amount that the spectators donated
= 42 x (1 u + 100)
= 42 u + 4200
Amount that the performers donated
= 18 x 1 u
= 18 u
Total amount donated
= 42 u + 4200 + 18 u
= 60 u + 4200
60 u + 4200 = 4500
60 u = 4500 - 4200
60 u = 300
1 u = 300 ÷ 60 = 5
Amount of more money donated by the spectators than the performers
= (42 u + 4200) - 18 u
= 24 u + 4200
= (24 x 5) + 4200
= $4320
Answer(s): $4320
