44 spectators and some performers donated a total of $6000 for a fund-raising project. Each spectator donated $100 more than each performer. If there were 24 more spectators than performers, how much less money did the performers donate than the spectators?
|
Spectators |
Performers |
Total |
Difference |
Number |
44 |
20 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
44 u + 4400 |
20 u |
64 u + 4400 |
24 u + 4400 |
Amount that the spectators donated
= 44 x (1 u + 100)
= 44 u + 4400
Amount that the performers donated
= 20 x 1 u
= 20 u
Total amount donated
= 44 u + 4400 + 20 u
= 64 u + 4400
64 u + 4400 = 6000
64 u = 6000 - 4400
64 u = 1600
1 u = 1600 ÷ 64 = 25
Total amount donated
= 44 u + 4400 + 20 u
= 64 u + 4400
64 u + 4400 = 6000
64 u = 6000 - 4400
64 u = 1600
1 u = 1600 ÷ 64 = 25
Amount of less money donated by the performers than the spectators
= (44 u + 4400) - 20 u
= 24 u + 4400
= (24 x 25) + 4400
= $5000
Answer(s): $5000