There are four times as many children as adults in a stadium. There are 170 more boys than girls. If there are 270 people in the stadium,
- how many children are there?
- how many girls are there?
- how many boys are there?
Children |
Adults |
Total |
4 u |
1 u |
5 u |
Girls |
Boys |
|
|
1 p |
1 p + 170 |
|
|
(a)
Number of adults = 1 u
Number of children = 4 x 1 u = 4 u
Total number of people
= 4 u + 1 u
= 5 u
5 u = 270
1 u = 270 ÷ 5 = 54
(a)
Number of children
= 4 u
= 4 x 54
= 216
(b)
Number of girls = 1 p
Number of boys = 1 p + 170
1 p + 1 p + 170 = 216
2 p + 170 = 216
2 p = 216 - 170
2 p = 46
1 p = 46 ÷ 2 = 23
Number of girls
= 1 p
= 23
(c)
Number of boys
= 1 p + 170
= 23 + 170
= 193
Answer(s): (a) 216; (b) 23; (c) 193