SOLUTION: Rahim, Melvin, Norman and Pramesh shared a pizza. The ratio of the pizza eaten by Melvin to the total eaten by the rest of them was 1:4. The ratio of the pizza eaten by Rahim to

Question 1184559: Rahim, Melvin, Norman and Pramesh shared a pizza.
The ratio of the pizza eaten by Melvin to the total eaten by the rest of them was 1:4.
The ratio of the pizza eaten by Rahim to the total eaten by the rest of them was 1:3.
Norman and Pramesh ate the same amount of pizza.
Find the ratio of the pizza eaten by Rahim the pizza eaten by Melvin to the pizza
eaten by Norman.
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

(1) The ratio of the pizza eaten by Melvin to the total eaten by the rest of them was 1:4.

That means Melvin ate 1/(1+4) = 1/5 of the pizza.

(2) The ratio of the pizza eaten by Rahim to the total eaten by the rest of them was 1:3.

That means Rahim ate 1/(1+3) = 1/4 of the pizza.

(3) Norman and Pramesh ate the same amount of pizza.

Together Melvin and Rahim ate (1/5)+1/4) = (4/20)+(5/20) = 9/20 of the pizza, so 11/20 was left for Norman and Pramesh. So Norman and Pramesh each ate 11/40 of the pizza.

Rahim: 1/4 = 10/40 of the pizza
Melvin: 1/5 = 8/40 of the pizza
Norman: 11/40 of the pizza

ANSWER: Rahim:Melvin:Norman = 10:8:11

RELATED QUESTIONS
Three sevenths of the pizza was eaten.what percent of the pizza was not... (answered by rfer,josmiceli)

The total age of Melvin and Jack is 32 years. Melvin is 3 times as old as Jack. How old... (answered by ewatrrr)

There are eight pieces of pizza. Justin ate five-eights of the pizza for dinner. He ate... (answered by lynnlo,Alan3354)

There are ten pieces of pizza. Anthony ate 1/8 of the pizza for dinner. He ate 1/4 of the (answered by sofiyac)

22.) One out of four Americans over age 55 has eaten pizza for breakfast. If a sample of... (answered by stanbon)

Three out of four American adults under age 35 have eaten pizza for breakfast. If a... (answered by solver91311)

Three out of four American adults under age 35 have eaten pizza for breakfast. If a... (answered by Boreal)

Molly sliced a pizza into 10 equal wedges. She then sliced each of these pieces into 2... (answered by solver91311)

Pleaseee i neeed help with this If we add 2 gallons of water to a 40 % alcohol solution, (answered by josgarithmetic)