There are twice as many adults as children in a concert hall, and there are twice as many boys as girls. If there are 1683 people in the concert hall,
- how many adults are there?
- how many children are there?
- how many boys are there?
Adults |
Children |
|
Girls |
Boys |
|
1 u |
2 u |
6 u |
3 u |
(a)
Number of girls = 1 u
Number of boys = 2 x 1 u = 2 u
Number of children = 2 u + 1 u = 3 u
Number of adults = 2 x 3 u = 6 u
People in the concert hall
= 3 u + 6 u
= 9 u
9 u = 1683
1 u = 1683 ÷ 9 = 187
Number of adults
= 6 u
= 6 x 187
= 1122
(b)
Number of children
= 3 u
= 3 x 187
= 561
(c)
Number of boys
= 2 u
= 2 x 187
= 374
Answer(s): (a) 1122; (b) 561; (c) 374