Three siblings share a pizza that costs $12.75. Tim eats 1/3 of the pizza. Of the remaining pizza, Kai eats 1/3. And of that remaining pizza, Max eats 1/2. How much should each brother pay?
2006-09-30 22:52:07 · 7 answers · asked by Anonymous in Education & Reference ➔ Homework Help
Tim has eaten 1/3 of pizza. This means $12.75/3 = $4.25
Then the remaining pizza is $12.75-4.25 = $8.5
Kai has eaten 1/3 of the remaining. This means $8.5/3 = $2.83
Then the remaining pizza is $8.5-$2.83 = $5.67
Max has eaten 1/2 of the remaining pizza. This means $5.67/2 = $2.83
The the remaining pizza cost $2.83 and this to be shared among the three. This means $2.83/3 = $0.94
Therefore each person will pay:
Tim = $4.25 + $0.94 = $5.19
Kai = $2.83+$0.94 = $3.78
Max = $2.83+$0.94 = $3.78
This will give a total of $(5.19+3.78+3.78) = $12.75
2006-10-01 01:36:05 · answer #1 · answered by The young Merlin 4 · 0⤊ 0⤋
Assume that the pizza was cut into nine slices (unlikely, but useful for our calculations).
Tim eats 1/3 of 9 slices (3 slices), leaving 6 slices. Kai eats 1/3 of 6 slices (2 slices), leaving 4 slices. Max eats 1/2 of 4 slices (2 slices), leaving 2 slices.
If we assume that each sibling should pay an amount proportional to what they ate, Max and Kai should pay an equal amount, and Tim should pay 50% more than either other sibling paid. Since seven total pieces were eaten (7/9 of the whole pizza), we can divide the total price by seven to figure out how much each slice cost. (We can't divide by nine. The siblings have to pay for the whole pizza, regardless of the fact that there were two slices left over!)
Kai and Max should each pay $3.64. Tim should pay $5.46. They can argue about the remaining penny.
2006-10-01 06:23:46 · answer #2 · answered by marbledog 6 · 1⤊ 0⤋
They should all pay $4.25 because regardless of how much any of them ate - they were all needed to order the pizza. Kia and Max can take split the last 2/9th of the pizza if they want to complain about it giving them both 1/9th of the pizza as left overs. After all its not Tim's fault the other two didn't eat their share. Just out of curiousity is this for a math class? Who the heck splits a pizza and pays by how much they eat?
The math $12.75/3= $4.25
2006-10-01 06:22:16 · answer #3 · answered by Anonymous · 1⤊ 0⤋
Tim pays 4.25. Kai pays 2.83 and Max pays 5.67....
2006-10-01 06:02:51 · answer #4 · answered by aklakerfan1 1 · 0⤊ 0⤋
The brother with the most money in his pocket treats the other brothers and they thank him for it. Another brother buys the drinks!
2006-10-01 06:08:47 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Your fractions don't add up to a whole. Are we assuming nobody pays for what is left over?
2006-10-01 06:02:35 · answer #6 · answered by Funchy 6 · 1⤊ 0⤋
WHAT is YOUR own formulation of the problem. In short , translate your words into an equation
2006-10-01 06:08:51 · answer #7 · answered by Rajesh Kochhar 6 · 0⤊ 0⤋