35 spectators and some performers donated a total of $5000 for a charity 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 |
35 |
15 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
35 u + 3500 |
15 u |
50 u + 3500 |
20 u + 3500 |
Amount that the spectators donated
= 35 x (1 u + 100)
= 35 u + 3500
Amount that the performers donated
= 15 x 1 u
= 15 u
Total amount donated
= 35 u + 3500 + 15 u
= 50 u + 3500
50 u + 3500 = 5000
50 u = 5000 - 3500
50 u = 1500
1 u = 1500 ÷ 50 = 30
Amount of more money donated by the spectators than the performers
= (35 u + 3500) - 15 u
= 20 u + 3500
= (20 x 30) + 3500
= $4100
Answer(s): $4100