Mike, Sam, and Josh shared a pizza. If Mike ate ⅓ of the pizza, Sam ate ¼ of the pizza, and Josh ate the rest. What is the ratio of Mike's share to Sam's share to Josh's share? Please help me I'm confused

The ratio is 4:3:5

Step-by-step explanation:

Here, we want to find the ratio of each of the shares.

Josh ‘ate’ the rest.

We need to find that fraction that Josh ate.

To find this, we only need to subtract the sum of what the first two are from 1 ( 1/1 is the total fraction at any point in time)

So that would be;

1 - 1/3 -1/4 = (12-3-4)/12 = 5/12

So the fraction Josh ate is 5/12

Now to find the ratio, it is best to give an arbitrary measurement as the total size or weight of the pizza. Let’s say the weight of the pizza is 12kg ( this can be any figure, we just need it introduced so we can measure the ratio in terms of weight other than fraction which could be confusing)

So the weight ate by individual are as follows;

Mike ate 1/3 = 1/3 * 12 = 4kg

Sam ate 1/4 = 1/4 * 12 = 3kg

Josh ate 5/12 = 5/12 * 12 = 5kg

So therefore, the ratio of Mike to Sam to Josh share is 4:3:5

2

step-by-step explanation: