The average height of a group of girls was 111 cm. After 7 boys with a total of 917 cm joined the group, the average height of all the pupils increased to 121 cm.
- What was the average height of the boys?
- How many girls were there in the group?
|
Girls |
Boys |
Pupils |
Number |
1 u |
7 |
1 u + 7 |
Value |
111 |
? |
121 |
Total value |
111 u |
917 |
121 u + 847 |
(a)
Average height of boys
= 917 ÷ 7
= 131 cm
(b)
Total height of pupils
= 121(1 u + 7)
= 121 u + 847
Total height of girls and boys = 111 u + 917
121 u + 847 = 111 u + 917
121 u - 111 u = 917 - 847
10 u = 70
1 u = 70 ÷ 10 = 7
Number of girls = 7
Answer(s): (a) 131 cm; (b) 7