39 spectators and some performers donated a total of $5700 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 |
39 |
11 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
39 u + 3900 |
11 u |
50 u + 3900 |
28 u + 3900 |
Amount that the spectators donated
= 39 x (1 u + 100)
= 39 u + 3900
Amount that the performers donated
= 11 x 1 u
= 11 u
Total amount donated
= 39 u + 3900 + 11 u
= 50 u + 3900
50 u + 3900 = 5700
50 u = 5700 - 3900
50 u = 1800
1 u = 1800 ÷ 50 = 36
Total amount donated
= 39 u + 3900 + 11 u
= 50 u + 3900
50 u + 3900 = 5700
50 u = 5700 - 3900
50 u = 1800
1 u = 1800 ÷ 50 = 36
Amount of less money donated by the performers than the spectators
= (39 u + 3900) - 11 u
= 28 u + 3900
= (28 x 36) + 3900
= $4908
Answer(s): $4908