The average height of a group of boys was 116 cm. After 4 girls with a total of 504 cm joined the group, the average height of all the pupils increased to 117 cm.
- What was the average height of the girls?
- How many boys were there in the group?
|
Boys |
Girls |
Pupils |
Number |
1 u |
4 |
1 u + 4 |
Value |
116 |
? |
117 |
Total value |
116 u |
504 |
117 u + 468 |
(a)
Average height of girls
= 504 ÷ 4
= 126 cm
(b)
Total height of pupils
= 117(1 u + 4)
= 117 u + 468
Total height of boys and girls = 116 u + 504
117 u + 468 = 116 u + 504
117 u - 116 u = 504 - 468
1 u = 36
1 u = 36 ÷ 1 = 36
Number of boys = 36
Answer(s): (a) 126 cm; (b) 36