30 spectators and some performers donated a total of $5600 for a donation drive. Each spectator donated $100 more than each performer. If there were 20 more spectators than performers, how much more money did the spectators donate than the performers?
| |
Spectators |
Performers |
Total |
Difference |
| Number |
30 |
10 |
|
|
| Value |
1 u + 100 |
1 u |
|
|
| Total value |
30 u + 3000 |
10 u |
40 u + 3000 |
20 u + 3000 |
Amount that the spectators donated
= 30 x (1 u + 100)
= 30 u + 3000
Amount that the performers donated
= 10 x 1 u
= 10 u
Total amount donated
= 30 u + 3000 + 10 u
= 40 u + 3000
40 u + 3000 = 5600
40 u = 5600 - 3000
40 u = 2600
1 u = 2600 ÷ 40 = 65
Amount of more money donated by the spectators than the performers
= (30 u + 3000) - 10 u
= 20 u + 3000
= (20 x 65) + 3000
= $4300
Answer(s): $4300
