35 spectators and some performers donated a total of $5800 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 |
35 |
11 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
35 u + 3500 |
11 u |
46 u + 3500 |
24 u + 3500 |
Amount that the spectators donated
= 35 x (1 u + 100)
= 35 u + 3500
Amount that the performers donated
= 11 x 1 u
= 11 u
Total amount donated
= 35 u + 3500 + 11 u
= 46 u + 3500
46 u + 3500 = 5800
46 u = 5800 - 3500
46 u = 2300
1 u = 2300 ÷ 46 = 50
Total amount donated
= 35 u + 3500 + 11 u
= 46 u + 3500
46 u + 3500 = 5800
46 u = 5800 - 3500
46 u = 2300
1 u = 2300 ÷ 46 = 50
Amount of less money donated by the performers than the spectators
= (35 u + 3500) - 11 u
= 24 u + 3500
= (24 x 50) + 3500
= $4700
Answer(s): $4700