10% of the people are performers for a concert and the rest are spectators. 70% of the spectators are children and there are 1440 more child spectators than adult spectators. How many child spectators must leave so that 26% of the people are child spectators?
|
Performers |
Spectators |
|
1x10 |
9x10 |
|
|
Adults |
Children |
|
|
3x9 |
7x9 |
Before |
10 u |
27 u |
63 u |
Change |
|
|
- ? |
After |
37x1 = 37 u |
13x1 = 13 u |
10% =
10100 =
110 70% =
70100 =
710 26% =
26100 =
1350The total number of spectators at first is repeated. Make the total number of spectators the same. LCM of 9 and 10 is 90.
Number of more child spectators than adult spectators at first
= 63 u - 27 u
= 36 u
36 u = 1440
1 u = 1440 ÷ 36 = 40
If some child spectators leave, the total number of adult spectators and performers remains unchanged.
Number of child spectators who must leave so that 26% of the people are child spectators
= 63 u - 13 u
= 50 u
= 50 x 40
= 2000
Answer(s): 2000