The average height of a group of girls was 113 cm. After 4 boys with a total of 500 cm joined the group, the average height of all the pupils increased to 117 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 |
113 |
? |
117 |
Total value |
113 u |
500 |
117 u + 468 |
(a)
Average height of boys
= 500 ÷ 4
= 125 cm
(b)
Total height of pupils
= 117(1 u + 4)
= 117 u + 468
Total height of girls and boys = 113 u + 500
117 u + 468 = 113 u + 500
117 u - 113 u = 500 - 468
4 u = 32
1 u = 32 ÷ 4 = 8
Number of girls = 8
Answer(s): (a) 125 cm; (b) 8