20% of the people are performers for a concert and the rest are spectators. 60% of the spectators are parents and there are 800 less child spectators than parent spectators. How many parent spectators must join so that 74% of the people are parent spectators?
|
Performers |
Spectators |
|
1x5 |
4x5 |
|
|
Children |
Parents |
|
|
2x4 |
3x4 |
Before |
5 u |
8 u |
12 u |
Change |
|
|
+ ? |
After |
13x1 = 13 u |
37x1 = 37 u |
20% =
20100 =
15 60% =
60100 =
35 74% =
74100 =
3750The total number of spectators at first is repeated. Make the total number of spectators the same. LCM of 4 and 5 is 20.
Number of less child spectators than parent spectators at first
= 12 u - 8 u
= 4 u
4 u = 800
1 u = 800 ÷ 4 = 200
If some parent spectators join, the total number of child spectators and performers remains unchanged.
Number of parent spectators who must join so that 74% of the people are parent spectators
= 37 u - 12 u
= 25 u
= 25 x 200
= 5000
Answer(s): 5000