The average height of a group of girls was 161 cm. After 4 boys with a total of 700 cm joined the group, the average height of all the pupils increased to 165 cm.
- What was the average height of the boys?
- How many girls were there in the group?
|
Girls |
Boys |
Pupils |
Number |
1 u |
4 |
1 u + 4 |
Value |
161 |
? |
165 |
Total value |
161 u |
700 |
165 u + 660 |
(a)
Average height of boys
= 700 ÷ 4
= 175 cm
(b)
Total height of pupils
= 165(1 u + 4)
= 165 u + 660
Total height of girls and boys = 161 u + 700
165 u + 660 = 161 u + 700
165 u - 161 u = 700 - 660
4 u = 40
1 u = 40 ÷ 4 = 10
Number of girls = 10
Answer(s): (a) 175 cm; (b) 10