At the musical performance, there were 20 less girls than boys. After
13 of the girls and
34 of the boys had left the hall, there was an equal number of girls and boys that remained behind. Find the number of girls who were present at the musical performance at first.
|
Girls |
Boys |
Less |
Before |
3x1 = 3 u |
4x2 = 8 u |
5 u |
Change |
- 1x1 = - 1 u |
- 3x2 = - 6 u |
|
After |
2x1 = 2 u |
1x2 = 2 u |
|
Fraction of girls that remained
= 1 -
13 =
23 Fraction of boys that remained
= 1 -
34 =
14 The number of girls and boys in the end is the same. Make the number of girls and boys in the end the same. LCM of 2 and 1 is 2.
2x13x1 Girls =
1x24x2 Boys
23 Girls =
28 Boys
Total girls at first = 3 u
Total boys at first = 8 u
Number of less girls than boys at first
= 8 u - 3 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Number of girls at first
= 3 u
= 3 x 4
= 12
Answer(s): 12