44 spectators and some performers donated a total of $4700 for a fund-raising project. Each spectator donated $100 more than each performer. If there were 28 more spectators than performers, how much less money did the performers donate than the spectators?
|
Spectators |
Performers |
Total |
Difference |
Number |
44 |
16 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
44 u + 4400 |
16 u |
60 u + 4400 |
28 u + 4400 |
Amount that the spectators donated
= 44 x (1 u + 100)
= 44 u + 4400
Amount that the performers donated
= 16 x 1 u
= 16 u
Total amount donated
= 44 u + 4400 + 16 u
= 60 u + 4400
60 u + 4400 = 4700
60 u = 4700 - 4400
60 u = 300
1 u = 300 ÷ 60 = 5
Total amount donated
= 44 u + 4400 + 16 u
= 60 u + 4400
60 u + 4400 = 4700
60 u = 4700 - 4400
60 u = 300
1 u = 300 ÷ 60 = 5
Amount of less money donated by the performers than the spectators
= (44 u + 4400) - 16 u
= 28 u + 4400
= (28 x 5) + 4400
= $4540
Answer(s): $4540