40 spectators and some performers donated a total of $4700 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 |
40 |
10 |
|
|
| Value |
1 u + 100 |
1 u |
|
|
| Total value |
40 u + 4000 |
10 u |
50 u + 4000 |
30 u + 4000 |
Amount that the spectators donated
= 40 x (1 u + 100)
= 40 u + 4000
Amount that the performers donated
= 10 x 1 u
= 10 u
Total amount donated
= 40 u + 4000 + 10 u
= 50 u + 4000
50 u + 4000 = 4700
50 u = 4700 - 4000
50 u = 700
1 u = 700 ÷ 50 = 14
Total amount donated
= 40 u + 4000 + 10 u
= 50 u + 4000
50 u + 4000 = 4700
50 u = 4700 - 4000
50 u = 700
1 u = 700 ÷ 50 = 14
Amount of less money donated by the performers than the spectators
= (40 u + 4000) - 10 u
= 30 u + 4000
= (30 x 14) + 4000
= $4420
Answer(s): $4420
