41 spectators and some performers donated a total of $5000 for a donation drive. 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 |
41 |
19 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
41 u + 4100 |
19 u |
60 u + 4100 |
22 u + 4100 |
Amount that the spectators donated
= 41 x (1 u + 100)
= 41 u + 4100
Amount that the performers donated
= 19 x 1 u
= 19 u
Total amount donated
= 41 u + 4100 + 19 u
= 60 u + 4100
60 u + 4100 = 5000
60 u = 5000 - 4100
60 u = 900
1 u = 900 ÷ 60 = 15
Total amount donated
= 41 u + 4100 + 19 u
= 60 u + 4100
60 u + 4100 = 5000
60 u = 5000 - 4100
60 u = 900
1 u = 900 ÷ 60 = 15
Amount of less money donated by the performers than the spectators
= (41 u + 4100) - 19 u
= 22 u + 4100
= (22 x 15) + 4100
= $4430
Answer(s): $4430