33 spectators and some performers donated a total of $5700 for a charity drive. Each spectator donated $100 more than each performer. If there were 26 more spectators than performers, how much more money did the spectators donate than the performers?
| |
Spectators |
Performers |
Total |
Difference |
| Number |
33 |
7 |
|
|
| Value |
1 u + 100 |
1 u |
|
|
| Total value |
33 u + 3300 |
7 u |
40 u + 3300 |
26 u + 3300 |
Amount that the spectators donated
= 33 x (1 u + 100)
= 33 u + 3300
Amount that the performers donated
= 7 x 1 u
= 7 u
Total amount donated
= 33 u + 3300 + 7 u
= 40 u + 3300
40 u + 3300 = 5700
40 u = 5700 - 3300
40 u = 2400
1 u = 2400 ÷ 40 = 60
Amount of more money donated by the spectators than the performers
= (33 u + 3300) - 7 u
= 26 u + 3300
= (26 x 60) + 3300
= $4860
Answer(s): $4860
