There are five times as many children as adults in a concert hall. There are 93 more boys than girls. If there are 210 people in the concert hall,
- how many children are there?
- how many girls are there?
- how many boys are there?
| Children |
Adults |
Total |
| 5 u |
1 u |
6 u |
| Girls |
Boys |
|
|
| 1 p |
1 p + 93 |
|
|
(a)
Number of adults = 1 u
Number of children = 5 x 1 u = 5 u
Total number of people
= 5 u + 1 u
= 6 u
6 u = 210
1 u = 210 ÷ 6 = 35
(a)
Number of children
= 5 u
= 5 x 35
= 175
(b)
Number of girls = 1 p
Number of boys = 1 p + 93
1 p + 1 p + 93 = 175
2 p + 93 = 175
2 p = 175 - 93
2 p = 82
1 p = 82 ÷ 2 = 41
Number of girls
= 1 p
= 41
(c)
Number of boys
= 1 p + 93
= 41 + 93
= 134
Answer(s): (a) 175; (b) 41; (c) 134
