In a class, 8 girls jumped an average of 1.34 m for their standing broad jump in their fitness test. The boys in the same class jumped an average of 1.52 m in the same test. The total average of the whole class was 1.46 m. How many boys were there?
|
Girls |
Boys |
Children |
Number |
8 |
1 u |
1 u + 8 |
Value |
1.34 |
1.52 |
1.46 |
Total Value |
10.72 |
1.52 u |
1.46 u + 11.68 |
Total number of boys = 1 u
Total number of children = 1 u + 8
Total length that the girls jumped
= 8 x 1.34
= 10.72 m
Total length that the boys jumped
= 1 u x 1.52
= 1.52 u
Total length that the children jumped
= 1.46(1 u + 8)
= 1.46 u + 11.68
10.72 + 1.52 u = 1.46 u + 11.68
1.52 u - 1.46 u = 11.68 - 10.72
0.06 u = 0.96
1 u = 0.96 ÷ 0.06 = 16
Number of boys
= 1 u
= 16
Answer(s): 16