46 spectators and some performers donated a total of $5300 for a fund-raising project. Each spectator donated $100 more than each performer. If there were 22 more spectators than performers, how much less money did the performers donate than the spectators?
|
Spectators |
Performers |
Total |
Difference |
Number |
46 |
24 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
46 u + 4600 |
24 u |
70 u + 4600 |
22 u + 4600 |
Amount that the spectators donated
= 46 x (1 u + 100)
= 46 u + 4600
Amount that the performers donated
= 24 x 1 u
= 24 u
Total amount donated
= 46 u + 4600 + 24 u
= 70 u + 4600
70 u + 4600 = 5300
70 u = 5300 - 4600
70 u = 700
1 u = 700 ÷ 70 = 10
Total amount donated
= 46 u + 4600 + 24 u
= 70 u + 4600
70 u + 4600 = 5300
70 u = 5300 - 4600
70 u = 700
1 u = 700 ÷ 70 = 10
Amount of less money donated by the performers than the spectators
= (46 u + 4600) - 24 u
= 22 u + 4600
= (22 x 10) + 4600
= $4820
Answer(s): $4820