45 spectators and some performers donated a total of $5800 for a fund-raising project. Each spectator donated $100 more than each performer. If there were 25 more spectators than performers, how much less money did the performers donate than the spectators?
|
Spectators |
Performers |
Total |
Difference |
Number |
45 |
20 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
45 u + 4500 |
20 u |
65 u + 4500 |
25 u + 4500 |
Amount that the spectators donated
= 45 x (1 u + 100)
= 45 u + 4500
Amount that the performers donated
= 20 x 1 u
= 20 u
Total amount donated
= 45 u + 4500 + 20 u
= 65 u + 4500
65 u + 4500 = 5800
65 u = 5800 - 4500
65 u = 1300
1 u = 1300 ÷ 65 = 20
Total amount donated
= 45 u + 4500 + 20 u
= 65 u + 4500
65 u + 4500 = 5800
65 u = 5800 - 4500
65 u = 1300
1 u = 1300 ÷ 65 = 20
Amount of less money donated by the performers than the spectators
= (45 u + 4500) - 20 u
= 25 u + 4500
= (25 x 20) + 4500
= $5000
Answer(s): $5000