36 spectators and some performers donated a total of $4300 for a charity drive. Each spectator donated $100 more than each performer. If there were 22 more spectators than performers, how much more money did the spectators donate than the performers?
|
Spectators |
Performers |
Total |
Difference |
Number |
36 |
14 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
36 u + 3600 |
14 u |
50 u + 3600 |
22 u + 3600 |
Amount that the spectators donated
= 36 x (1 u + 100)
= 36 u + 3600
Amount that the performers donated
= 14 x 1 u
= 14 u
Total amount donated
= 36 u + 3600 + 14 u
= 50 u + 3600
50 u + 3600 = 4300
50 u = 4300 - 3600
50 u = 700
1 u = 700 ÷ 50 = 14
Amount of more money donated by the spectators than the performers
= (36 u + 3600) - 14 u
= 22 u + 3600
= (22 x 14) + 3600
= $3908
Answer(s): $3908