37 spectators and some performers donated a total of $4900 for a fund-raising project. Each spectator donated $100 more than each performer. If there were 26 more spectators than performers, how much less money did the performers donate than the spectators?
|
Spectators |
Performers |
Total |
Difference |
Number |
37 |
11 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
37 u + 3700 |
11 u |
48 u + 3700 |
26 u + 3700 |
Amount that the spectators donated
= 37 x (1 u + 100)
= 37 u + 3700
Amount that the performers donated
= 11 x 1 u
= 11 u
Total amount donated
= 37 u + 3700 + 11 u
= 48 u + 3700
48 u + 3700 = 4900
48 u = 4900 - 3700
48 u = 1200
1 u = 1200 ÷ 48 = 25
Total amount donated
= 37 u + 3700 + 11 u
= 48 u + 3700
48 u + 3700 = 4900
48 u = 4900 - 3700
48 u = 1200
1 u = 1200 ÷ 48 = 25
Amount of less money donated by the performers than the spectators
= (37 u + 3700) - 11 u
= 26 u + 3700
= (26 x 25) + 3700
= $4350
Answer(s): $4350