34 spectators and some performers donated a total of $4300 for a donation drive. Each spectator donated $100 more than each performer. If there were 23 more spectators than performers, how much less money did the performers donate than the spectators?
|
Spectators |
Performers |
Total |
Difference |
Number |
34 |
11 |
|
|
Value |
1 u + 100 |
1 u |
|
|
Total value |
34 u + 3400 |
11 u |
45 u + 3400 |
23 u + 3400 |
Amount that the spectators donated
= 34 x (1 u + 100)
= 34 u + 3400
Amount that the performers donated
= 11 x 1 u
= 11 u
Total amount donated
= 34 u + 3400 + 11 u
= 45 u + 3400
45 u + 3400 = 4300
45 u = 4300 - 3400
45 u = 900
1 u = 900 ÷ 45 = 20
Total amount donated
= 34 u + 3400 + 11 u
= 45 u + 3400
45 u + 3400 = 4300
45 u = 4300 - 3400
45 u = 900
1 u = 900 ÷ 45 = 20
Amount of less money donated by the performers than the spectators
= (34 u + 3400) - 11 u
= 23 u + 3400
= (23 x 20) + 3400
= $3860
Answer(s): $3860