There are twice as many children as adults in a museum. There are 192 more boys than girls. If there are 633 people in the museum,
- how many children are there?
- how many girls are there?
- how many boys are there?
Children |
Adults |
Total |
2 u |
1 u |
3 u |
Girls |
Boys |
|
|
1 p |
1 p + 192 |
|
|
(a)
Number of adults = 1 u
Number of children = 2 x 1 u = 2 u
Total number of people
= 2 u + 1 u
= 3 u
3 u = 633
1 u = 633 ÷ 3 = 211
(a)
Number of children
= 2 u
= 2 x 211
= 422
(b)
Number of girls = 1 p
Number of boys = 1 p + 192
1 p + 1 p + 192 = 422
2 p + 192 = 422
2 p = 422 - 192
2 p = 230
1 p = 230 ÷ 2 = 115
Number of girls
= 1 p
= 115
(c)
Number of boys
= 1 p + 192
= 115 + 192
= 307
Answer(s): (a) 422; (b) 115; (c) 307