32 spectators and some performers donated a total of $5000 for a donation drive. Each spectator donated $100 more than each performer. If there were 24 more spectators than performers, how much less money did the performers donate than the spectators?
| |
Spectators |
Performers |
Total |
Difference |
| Number |
32 |
8 |
|
|
| Value |
1 u + 100 |
1 u |
|
|
| Total value |
32 u + 3200 |
8 u |
40 u + 3200 |
24 u + 3200 |
Amount that the spectators donated
= 32 x (1 u + 100)
= 32 u + 3200
Amount that the performers donated
= 8 x 1 u
= 8 u
Total amount donated
= 32 u + 3200 + 8 u
= 40 u + 3200
40 u + 3200 = 5000
40 u = 5000 - 3200
40 u = 1800
1 u = 1800 ÷ 40 = 45
Total amount donated
= 32 u + 3200 + 8 u
= 40 u + 3200
40 u + 3200 = 5000
40 u = 5000 - 3200
40 u = 1800
1 u = 1800 ÷ 40 = 45
Amount of less money donated by the performers than the spectators
= (32 u + 3200) - 8 u
= 24 u + 3200
= (24 x 45) + 3200
= $4280
Answer(s): $4280
