The average height of a group of girls was 153 cm. After 5 boys with a total of 875 cm joined the group, the average height of all the students increased to 163 cm.
- What was the average height of the boys?
- How many girls were there in the group?
|
Girls |
Boys |
Students |
Number |
1 u |
5 |
1 u + 5 |
Value |
153 |
? |
163 |
Total value |
153 u |
875 |
163 u + 815 |
(a)
Average height of boys
= 875 ÷ 5
= 175 cm
(b)
Total height of students
= 163(1 u + 5)
= 163 u + 815
Total height of girls and boys = 153 u + 875
163 u + 815 = 153 u + 875
163 u - 153 u = 875 - 815
10 u = 60
1 u = 60 ÷ 10 = 6
Number of girls = 6
Answer(s): (a) 175 cm; (b) 6