40 spectators and some performers donated a total of $5300 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 |
40 |
12 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
40 u + 4000 |
12 u |
52 u + 4000 |
28 u + 4000 |
Amount that the spectators donated
= 40 x (1 u + 100)
= 40 u + 4000
Amount that the performers donated
= 12 x 1 u
= 12 u
Total amount donated
= 40 u + 4000 + 12 u
= 52 u + 4000
52 u + 4000 = 5300
52 u = 5300 - 4000
52 u = 1300
1 u = 1300 ÷ 52 = 25
Amount of more money donated by the spectators than the performers
= (40 u + 4000) - 12 u
= 28 u + 4000
= (28 x 25) + 4000
= $4700
Answer(s): $4700