43 spectators and some performers donated a total of $4900 for a donation drive. Each spectator donated $100 more than each performer. If there were 26 more spectators than performers, how much less money did the performers donate than the spectators?
|
Spectators |
Performers |
Total |
Difference |
Number |
43 |
17 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
43 u + 4300 |
17 u |
60 u + 4300 |
26 u + 4300 |
Amount that the spectators donated
= 43 x (1 u + 100)
= 43 u + 4300
Amount that the performers donated
= 17 x 1 u
= 17 u
Total amount donated
= 43 u + 4300 + 17 u
= 60 u + 4300
60 u + 4300 = 4900
60 u = 4900 - 4300
60 u = 600
1 u = 600 ÷ 60 = 10
Total amount donated
= 43 u + 4300 + 17 u
= 60 u + 4300
60 u + 4300 = 4900
60 u = 4900 - 4300
60 u = 600
1 u = 600 ÷ 60 = 10
Amount of less money donated by the performers than the spectators
= (43 u + 4300) - 17 u
= 26 u + 4300
= (26 x 10) + 4300
= $4560
Answer(s): $4560