30 spectators and some performers donated a total of $5400 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 |
30 |
2 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
30 u + 3000 |
2 u |
32 u + 3000 |
28 u + 3000 |
Amount that the spectators donated
= 30 x (1 u + 100)
= 30 u + 3000
Amount that the performers donated
= 2 x 1 u
= 2 u
Total amount donated
= 30 u + 3000 + 2 u
= 32 u + 3000
32 u + 3000 = 5400
32 u = 5400 - 3000
32 u = 2400
1 u = 2400 ÷ 32 = 75
Total amount donated
= 30 u + 3000 + 2 u
= 32 u + 3000
32 u + 3000 = 5400
32 u = 5400 - 3000
32 u = 2400
1 u = 2400 ÷ 32 = 75
Amount of less money donated by the performers than the spectators
= (30 u + 3000) - 2 u
= 28 u + 3000
= (28 x 75) + 3000
= $5100
Answer(s): $5100