There are five times as many children as adults in a museum. There are 164 more boys than girls. If there are 264 people in the museum,
- 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 + 164 |
|
|
(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 = 264
1 u = 264 ÷ 6 = 44
(a)
Number of children
= 5 u
= 5 x 44
= 220
(b)
Number of girls = 1 p
Number of boys = 1 p + 164
1 p + 1 p + 164 = 220
2 p + 164 = 220
2 p = 220 - 164
2 p = 56
1 p = 56 ÷ 2 = 28
Number of girls
= 1 p
= 28
(c)
Number of boys
= 1 p + 164
= 28 + 164
= 192
Answer(s): (a) 220; (b) 28; (c) 192
