38 spectators and some performers donated a total of $4300 for a fund-raising project. 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 |
38 |
12 |
|
|
| Value |
1 u + 100 |
1 u |
|
|
| Total value |
38 u + 3800 |
12 u |
50 u + 3800 |
26 u + 3800 |
Amount that the spectators donated
= 38 x (1 u + 100)
= 38 u + 3800
Amount that the performers donated
= 12 x 1 u
= 12 u
Total amount donated
= 38 u + 3800 + 12 u
= 50 u + 3800
50 u + 3800 = 4300
50 u = 4300 - 3800
50 u = 500
1 u = 500 ÷ 50 = 10
Amount of more money donated by the spectators than the performers
= (38 u + 3800) - 12 u
= 26 u + 3800
= (26 x 10) + 3800
= $4060
Answer(s): $4060
