35 spectators and some performers donated a total of $5600 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 |
35 |
7 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
35 u + 3500 |
7 u |
42 u + 3500 |
28 u + 3500 |
Amount that the spectators donated
= 35 x (1 u + 100)
= 35 u + 3500
Amount that the performers donated
= 7 x 1 u
= 7 u
Total amount donated
= 35 u + 3500 + 7 u
= 42 u + 3500
42 u + 3500 = 5600
42 u = 5600 - 3500
42 u = 2100
1 u = 2100 ÷ 42 = 50
Amount of more money donated by the spectators than the performers
= (35 u + 3500) - 7 u
= 28 u + 3500
= (28 x 50) + 3500
= $4900
Answer(s): $4900