The average height of a group of girls was 165 cm. After 5 boys with a total of 885 cm joined the group, the average height of all the children increased to 168 cm.
- What was the average height of the boys?
- How many girls were there in the group?
|
Girls |
Boys |
Children |
Number |
1 u |
5 |
1 u + 5 |
Value |
165 |
? |
168 |
Total value |
165 u |
885 |
168 u + 840 |
(a)
Average height of boys
= 885 ÷ 5
= 177 cm
(b)
Total height of children
= 168(1 u + 5)
= 168 u + 840
Total height of girls and boys = 165 u + 885
168 u + 840 = 165 u + 885
168 u - 165 u = 885 - 840
3 u = 45
1 u = 45 ÷ 3 = 15
Number of girls = 15
Answer(s): (a) 177 cm; (b) 15