The average height of a group of boys was 160 cm. After 6 girls with a total of 1092 cm joined the group, the average height of all the students increased to 172 cm.
- What was the average height of the girls?
- How many boys were there in the group?
|
Boys |
Girls |
Students |
Number |
1 u |
6 |
1 u + 6 |
Value |
160 |
? |
172 |
Total value |
160 u |
1092 |
172 u + 1032 |
(a)
Average height of girls
= 1092 ÷ 6
= 182 cm
(b)
Total height of students
= 172(1 u + 6)
= 172 u + 1032
Total height of boys and girls = 160 u + 1092
172 u + 1032 = 160 u + 1092
172 u - 160 u = 1092 - 1032
12 u = 60
1 u = 60 ÷ 12 = 5
Number of boys = 5
Answer(s): (a) 182 cm; (b) 5