SOLUTION: Hi The average mass of a group of boys was 52kg at first. One more boy weighing 84kg joined the group and the average mass became 56kg. Find the number of boys in the group now.

Algebra.Com
Question 1176369: Hi
The average mass of a group of boys was 52kg at first. One more boy weighing 84kg joined the group and the average mass became 56kg. Find the number of boys in the group now.
Thanks

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

The solution with no words is presented below.


    52*n + 84 = 56*(n+1)


    52n  + 84 = 56n + 56


    84   - 56 = 56n - 52n


       28     = 4n


        n     = 28/4 = 7.    


ANSWER.  There are 7+1 = 8 boys in the group now.

Solved.



RELATED QUESTIONS

Hi the average mass of a group of people was 42kg at first. When one person weight... (answered by ikleyn,Theo)
Hi A group of girls had an average height of 155cm.3 more girls joined the group and the (answered by ikleyn,greenestamps,MathTherapy)
The average mass of 24 boys in a class is 35.5 kg and that of 15 girls is 29kg. A new boy (answered by ankor@dixie-net.com)
1. The average mass of some children in a group was 36kg. When one child who weighed 54kg (answered by rothauserc,ewatrrr)
A group of 8 children is chosen from a class with 30 boys and 10 girls. what is the... (answered by stanbon)
In a game for 24 groups, the average number of children in a group was 16. When one more... (answered by ikleyn)
the average age of 5 boys is 10, 2 new boys joined the group making the group average age (answered by TimothyLamb)
A group of 18 is being joined by 6 boys and 11 girls making the ratio of boys to girls... (answered by macston)
The average Height of 8 boys in a school is 40cms. If a new boy with the height of 67cms... (answered by solver91311)