There are thrice as many children as adults in a park. There are 103 more boys than girls. If there are 796 people in the park,
- how many children are there?
- how many girls are there?
- how many boys are there?
| Children |
Adults |
Total |
| 3 u |
1 u |
4 u |
| Girls |
Boys |
|
|
| 1 p |
1 p + 103 |
|
|
(a)
Number of adults = 1 u
Number of children = 3 x 1 u = 3 u
Total number of people
= 3 u + 1 u
= 4 u
4 u = 796
1 u = 796 ÷ 4 = 199
(a)
Number of children
= 3 u
= 3 x 199
= 597
(b)
Number of girls = 1 p
Number of boys = 1 p + 103
1 p + 1 p + 103 = 597
2 p + 103 = 597
2 p = 597 - 103
2 p = 494
1 p = 494 ÷ 2 = 247
Number of girls
= 1 p
= 247
(c)
Number of boys
= 1 p + 103
= 247 + 103
= 350
Answer(s): (a) 597; (b) 247; (c) 350
