The average height of a group of girls was 130 cm. After 7 boys with a total of 973 cm joined the group, the average height of all the pupils increased to 133 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 |
130 |
? |
133 |
Total value |
130 u |
973 |
133 u + 931 |
(a)
Average height of boys
= 973 ÷ 7
= 139 cm
(b)
Total height of pupils
= 133(1 u + 7)
= 133 u + 931
Total height of girls and boys = 130 u + 973
133 u + 931 = 130 u + 973
133 u - 130 u = 973 - 931
3 u = 42
1 u = 42 ÷ 3 = 14
Number of girls = 14
Answer(s): (a) 139 cm; (b) 14