33 spectators and some performers donated a total of $5200 for a fund-raising project. 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 |
33 |
5 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
33 u + 3300 |
5 u |
38 u + 3300 |
28 u + 3300 |
Amount that the spectators donated
= 33 x (1 u + 100)
= 33 u + 3300
Amount that the performers donated
= 5 x 1 u
= 5 u
Total amount donated
= 33 u + 3300 + 5 u
= 38 u + 3300
38 u + 3300 = 5200
38 u = 5200 - 3300
38 u = 1900
1 u = 1900 ÷ 38 = 50
Amount of more money donated by the spectators than the performers
= (33 u + 3300) - 5 u
= 28 u + 3300
= (28 x 50) + 3300
= $4700
Answer(s): $4700