There are thrice as many adults as children in a museum, and there are twice as many boys as girls. If there are 1992 people in the museum,
- 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 museum
= 3 u + 9 u
= 12 u
12 u = 1992
1 u = 1992 ÷ 12 = 166
Number of adults
= 9 u
= 9 x 166
= 1494
(b)
Number of children
= 3 u
= 3 x 166
= 498
(c)
Number of boys
= 2 u
= 2 x 166
= 332
Answer(s): (a) 1494; (b) 498; (c) 332