37 spectators and some performers donated a total of $6000 for a charity drive. 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 |
37 |
9 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
37 u + 3700 |
9 u |
46 u + 3700 |
28 u + 3700 |
Amount that the spectators donated
= 37 x (1 u + 100)
= 37 u + 3700
Amount that the performers donated
= 9 x 1 u
= 9 u
Total amount donated
= 37 u + 3700 + 9 u
= 46 u + 3700
46 u + 3700 = 6000
46 u = 6000 - 3700
46 u = 2300
1 u = 2300 ÷ 46 = 50
Total amount donated
= 37 u + 3700 + 9 u
= 46 u + 3700
46 u + 3700 = 6000
46 u = 6000 - 3700
46 u = 2300
1 u = 2300 ÷ 46 = 50
Amount of less money donated by the performers than the spectators
= (37 u + 3700) - 9 u
= 28 u + 3700
= (28 x 50) + 3700
= $5100
Answer(s): $5100