47 spectators and some performers donated a total of $5400 for a fund-raising project. 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 |
47 |
23 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
47 u + 4700 |
23 u |
70 u + 4700 |
24 u + 4700 |
Amount that the spectators donated
= 47 x (1 u + 100)
= 47 u + 4700
Amount that the performers donated
= 23 x 1 u
= 23 u
Total amount donated
= 47 u + 4700 + 23 u
= 70 u + 4700
70 u + 4700 = 5400
70 u = 5400 - 4700
70 u = 700
1 u = 700 ÷ 70 = 10
Total amount donated
= 47 u + 4700 + 23 u
= 70 u + 4700
70 u + 4700 = 5400
70 u = 5400 - 4700
70 u = 700
1 u = 700 ÷ 70 = 10
Amount of less money donated by the performers than the spectators
= (47 u + 4700) - 23 u
= 24 u + 4700
= (24 x 10) + 4700
= $4940
Answer(s): $4940