There are thrice as many adults as children in a concert hall, and there are twice as many boys as girls. If there are 1056 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 |
| 9 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 = 3 x 3 u = 9 u
People in the concert hall
= 3 u + 9 u
= 12 u
12 u = 1056
1 u = 1056 ÷ 12 = 88
Number of adults
= 9 u
= 9 x 88
= 792
(b)
Number of children
= 3 u
= 3 x 88
= 264
(c)
Number of boys
= 2 u
= 2 x 88
= 176
Answer(s): (a) 792; (b) 264; (c) 176
