The average height of a group of girls was 105 cm. After 7 boys with a total of 903 cm joined the group, the average height of all the pupils increased to 119 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 |
105 |
? |
119 |
Total value |
105 u |
903 |
119 u + 833 |
(a)
Average height of boys
= 903 ÷ 7
= 129 cm
(b)
Total height of pupils
= 119(1 u + 7)
= 119 u + 833
Total height of girls and boys = 105 u + 903
119 u + 833 = 105 u + 903
119 u - 105 u = 903 - 833
14 u = 70
1 u = 70 ÷ 14 = 5
Number of girls = 5
Answer(s): (a) 129 cm; (b) 5