32 spectators and some performers donated a total of $5900 for a charity drive. Each spectator donated $100 more than each performer. If there were 28 more spectators than performers, how much more money did the spectators donate than the performers?
|
Spectators |
Performers |
Total |
Difference |
Number |
32 |
4 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
32 u + 3200 |
4 u |
36 u + 3200 |
28 u + 3200 |
Amount that the spectators donated
= 32 x (1 u + 100)
= 32 u + 3200
Amount that the performers donated
= 4 x 1 u
= 4 u
Total amount donated
= 32 u + 3200 + 4 u
= 36 u + 3200
36 u + 3200 = 5900
36 u = 5900 - 3200
36 u = 2700
1 u = 2700 ÷ 36 = 75
Amount of more money donated by the spectators than the performers
= (32 u + 3200) - 4 u
= 28 u + 3200
= (28 x 75) + 3200
= $5300
Answer(s): $5300