36 spectators and some performers donated a total of $5400 for a fund-raising project. Each spectator donated $100 more than each performer. If there were 22 more spectators than performers, how much less money did the performers donate than the spectators?
|
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 = 5400
50 u = 5400 - 3600
50 u = 1800
1 u = 1800 ÷ 50 = 36
Total amount donated
= 36 u + 3600 + 14 u
= 50 u + 3600
50 u + 3600 = 5400
50 u = 5400 - 3600
50 u = 1800
1 u = 1800 ÷ 50 = 36
Amount of less money donated by the performers than the spectators
= (36 u + 3600) - 14 u
= 22 u + 3600
= (22 x 36) + 3600
= $4392
Answer(s): $4392