The average height of a group of boys was 160 cm. After 8 girls with a total of 1352 cm joined the group, the average height of all the children increased to 162 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 |
160 |
? |
162 |
Total value |
160 u |
1352 |
162 u + 1296 |
(a)
Average height of girls
= 1352 ÷ 8
= 169 cm
(b)
Total height of children
= 162(1 u + 8)
= 162 u + 1296
Total height of boys and girls = 160 u + 1352
162 u + 1296 = 160 u + 1352
162 u - 160 u = 1352 - 1296
2 u = 56
1 u = 56 ÷ 2 = 28
Number of boys = 28
Answer(s): (a) 169 cm; (b) 28