The average height of a group of boys was 148 cm. After 8 girls with a total of 1240 cm joined the group, the average height of all the children increased to 152 cm.
- What was the average height of the girls?
- How many boys were there in the group?
|
Boys |
Girls |
Children |
Number |
1 u |
8 |
1 u + 8 |
Value |
148 |
? |
152 |
Total value |
148 u |
1240 |
152 u + 1216 |
(a)
Average height of girls
= 1240 ÷ 8
= 155 cm
(b)
Total height of children
= 152(1 u + 8)
= 152 u + 1216
Total height of boys and girls = 148 u + 1240
152 u + 1216 = 148 u + 1240
152 u - 148 u = 1240 - 1216
4 u = 24
1 u = 24 ÷ 4 = 6
Number of boys = 6
Answer(s): (a) 155 cm; (b) 6