40 spectators and some performers donated a total of $5200 for a charity drive. Each spectator donated $100 more than each performer. If there were 20 more spectators than performers, how much less money did the performers donate than the spectators?
|
Spectators |
Performers |
Total |
Difference |
Number |
40 |
20 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
40 u + 4000 |
20 u |
60 u + 4000 |
20 u + 4000 |
Amount that the spectators donated
= 40 x (1 u + 100)
= 40 u + 4000
Amount that the performers donated
= 20 x 1 u
= 20 u
Total amount donated
= 40 u + 4000 + 20 u
= 60 u + 4000
60 u + 4000 = 5200
60 u = 5200 - 4000
60 u = 1200
1 u = 1200 ÷ 60 = 20
Total amount donated
= 40 u + 4000 + 20 u
= 60 u + 4000
60 u + 4000 = 5200
60 u = 5200 - 4000
60 u = 1200
1 u = 1200 ÷ 60 = 20
Amount of less money donated by the performers than the spectators
= (40 u + 4000) - 20 u
= 20 u + 4000
= (20 x 20) + 4000
= $4400
Answer(s): $4400