34 spectators and some performers donated a total of $6000 for a donation 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 |
34 |
6 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
34 u + 3400 |
6 u |
40 u + 3400 |
28 u + 3400 |
Amount that the spectators donated
= 34 x (1 u + 100)
= 34 u + 3400
Amount that the performers donated
= 6 x 1 u
= 6 u
Total amount donated
= 34 u + 3400 + 6 u
= 40 u + 3400
40 u + 3400 = 6000
40 u = 6000 - 3400
40 u = 2600
1 u = 2600 ÷ 40 = 65
Total amount donated
= 34 u + 3400 + 6 u
= 40 u + 3400
40 u + 3400 = 6000
40 u = 6000 - 3400
40 u = 2600
1 u = 2600 ÷ 40 = 65
Amount of less money donated by the performers than the spectators
= (34 u + 3400) - 6 u
= 28 u + 3400
= (28 x 65) + 3400
= $5220
Answer(s): $5220