There are five times as many children as adults in a concert hall. There are 62 more girls than boys. If there are 288 people in the concert hall,
- how many children are there?
- how many boys are there?
- how many girls are there?
| Children |
Adults |
Total |
| 5 u |
1 u |
6 u |
| Boys |
Girls |
|
|
| 1 p |
1 p + 62 |
|
|
(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 = 288
1 u = 288 ÷ 6 = 48
(a)
Number of children
= 5 u
= 5 x 48
= 240
(b)
Number of boys = 1 p
Number of girls = 1 p + 62
1 p + 1 p + 62 = 240
2 p + 62 = 240
2 p = 240 - 62
2 p = 178
1 p = 178 ÷ 2 = 89
Number of boys
= 1 p
= 89
(c)
Number of girls
= 1 p + 62
= 89 + 62
= 151
Answer(s): (a) 240; (b) 89; (c) 151
