The average height of a group of boys was 110 cm. After 4 girls with a total of 500 cm joined the group, the average height of all the students increased to 116 cm.
- What was the average height of the girls?
- How many boys were there in the group?
|
Boys |
Girls |
Students |
Number |
1 u |
4 |
1 u + 4 |
Value |
110 |
? |
116 |
Total value |
110 u |
500 |
116 u + 464 |
(a)
Average height of girls
= 500 ÷ 4
= 125 cm
(b)
Total height of students
= 116(1 u + 4)
= 116 u + 464
Total height of boys and girls = 110 u + 500
116 u + 464 = 110 u + 500
116 u - 110 u = 500 - 464
6 u = 36
1 u = 36 ÷ 6 = 6
Number of boys = 6
Answer(s): (a) 125 cm; (b) 6