37 spectators and some performers donated a total of $5900 for a donation drive. Each spectator donated $100 more than each performer. If there were 30 more spectators than performers, how much less money did the performers donate than the spectators?
|
Spectators |
Performers |
Total |
Difference |
Number |
37 |
7 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
37 u + 3700 |
7 u |
44 u + 3700 |
30 u + 3700 |
Amount that the spectators donated
= 37 x (1 u + 100)
= 37 u + 3700
Amount that the performers donated
= 7 x 1 u
= 7 u
Total amount donated
= 37 u + 3700 + 7 u
= 44 u + 3700
44 u + 3700 = 5900
44 u = 5900 - 3700
44 u = 2200
1 u = 2200 ÷ 44 = 50
Total amount donated
= 37 u + 3700 + 7 u
= 44 u + 3700
44 u + 3700 = 5900
44 u = 5900 - 3700
44 u = 2200
1 u = 2200 ÷ 44 = 50
Amount of less money donated by the performers than the spectators
= (37 u + 3700) - 7 u
= 30 u + 3700
= (30 x 50) + 3700
= $5200
Answer(s): $5200