SOLUTION: Can you please help me with a percentages question? A group of 4 people make toys. The group has made 10 toys total. On 10 of the toys 2 people have solely contributed, on 8 of the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Can you please help me with a percentages question? A group of 4 people make toys. The group has made 10 toys total. On 10 of the toys 2 people have solely contributed, on 8 of the      Log On


   

Question 1001816: Can you please help me with a percentages question? A group of 4 people make toys. The group has made 10 toys total. On 10 of the toys 2 people have solely contributed, on 8 of the toys, 3 people contributed & on 2 of the toys all 4 people contributed. What is the percentage of contribution each person should be credited with? I started by making a pie with 10 slices, 2 slices {20%} belong to A&B, solely. 8 slices should be divided into 1/3 for A,B & C and then 2 of those slices also need to be divided into 1/4's for A,B,C & D - and that's where I got lost- is this even a good way for me to try solve it? Thx!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Since the designation of the people and the toys is arbitrary, you can lay it out thusly without loss of generality:

A contributed to Toy #1 through Toy #10

B contributed to Toy #1 through Toy #10

C contributed to Toy #3 through Toy #10 (total of 8 toys)

D contributed to Toy #9 through Toy #10 (total of 2 toys)

So I count a total of 30 participation shares, 10 for A, 10 for B, 8 for C, and 2 for D.

Hence the percentages are each for A and B, for C and for D.


John

My calculator said it, I believe it, that settles it