There are twice as many adults as children in a concert hall, and there are thrice as many boys as girls. If there are 1836 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 |
3 u |
| 8 u |
4 u |
(a)
Number of girls = 1 u
Number of boys = 3 x 1 u = 3 u
Number of children = 3 u + 1 u = 4 u
Number of adults = 2 x 4 u = 8 u
People in the concert hall
= 4 u + 8 u
= 12 u
12 u = 1836
1 u = 1836 ÷ 12 = 153
Number of adults
= 8 u
= 8 x 153
= 1224
(b)
Number of children
= 4 u
= 4 x 153
= 612
(c)
Number of boys
= 3 u
= 3 x 153
= 459
Answer(s): (a) 1224; (b) 612; (c) 459
