The average height of a group of girls was 147 cm. After 6 boys with a total of 924 cm joined the group, the average height of all the students increased to 148 cm.
- What was the average height of the boys?
- How many girls were there in the group?
|
Girls |
Boys |
Students |
Number |
1 u |
6 |
1 u + 6 |
Value |
147 |
? |
148 |
Total value |
147 u |
924 |
148 u + 888 |
(a)
Average height of boys
= 924 ÷ 6
= 154 cm
(b)
Total height of students
= 148(1 u + 6)
= 148 u + 888
Total height of girls and boys = 147 u + 924
148 u + 888 = 147 u + 924
148 u - 147 u = 924 - 888
1 u = 36
1 u = 36 ÷ 1 = 36
Number of girls = 36
Answer(s): (a) 154 cm; (b) 36