The four girls washed the neighbor's dog for 50 cents. They didn't know how to divide the money, so the dog owner said: "I will give the four of you 4/5 of the total amount. To the first one to tell me how much that is, I will give 1/2 of the other 1/5" . If someone gave the dog owner the right answer, how did the money get divided up?
4/5 of 50 = 40 cents to start so ten cents each to start
(1/2)(1/5)50 = 5 cents more to truth teller
3 get 10 cents, winner gets 15 cents
there is 5 cents left over which the dog owner probably escaped with chortling the whole way home.
4/5 * .50 = .40 -> .10 each
The remaining 1/5 = .10, so 1/2 of that is .05.
So 3 of the 4 girls got $.10 and one got $.15. What happened to the other nickel?
To find out how the money was divided up, we need to calculate the total amount of money first.
We know that the four girls washed the dog for 50 cents, so that's the total amount. Now, the dog owner said that he will give the girls 4/5 of the total amount. To find out how much that is, we can multiply 4/5 by 50 cents:
4/5 * $0.50 = $0.40
So, the dog owner will give the four girls $0.40 in total. Now, the owner said that he will also give 1/2 of the other 1/5 to the first girl who gives him the right answer. So, let's calculate how much that is:
1/2 * 1/5 * $0.50 = $0.05
Now, let's see how the money got divided up based on the answer given. If someone gives the dog owner the right answer, they will get $0.05 as a bonus. The remaining $0.35 will be divided equally among the four girls:
$0.35 / 4 = $0.0875
Each girl will get $0.0875, or 8.75 cents.
Therefore, the girl who gives the correct answer will receive an extra $0.05, and each of the four girls will receive $0.0875, or 8.75 cents.