Math

QuestionIf 3 loaves feed 9 people, how many people can 9 loaves feed?

Studdy Solution

STEP 1

Assumptions1. The number of people consuming bread is directly proportional to the number of loaves of bread. . Three loaves of bread are consumed by9 people.

STEP 2

First, we need to find the ratio of the number of people to the number of loaves of bread. We can do this by dividing the number of people by the number of loaves of bread.
Ratio=Numberofpeople/NumberofloavesofbreadRatio = Number\, of\, people / Number\, of\, loaves\, of\, bread

STEP 3

Now, plug in the given values for the number of people and the number of loaves of bread to calculate the ratio.
Ratio=9/3Ratio =9 /3

STEP 4

Calculate the ratio.
Ratio=9/3=3Ratio =9 /3 =3This means that3 people consume1 loaf of bread.

STEP 5

Now that we have the ratio, we can find the number of people who will consume9 loaves of bread. We can do this by multiplying the ratio by the number of loaves of bread.
Numberofpeople=RatiotimesNumberofloavesofbreadNumber\, of\, people = Ratio \\times Number\, of\, loaves\, of\, bread

STEP 6

Plug in the values for the ratio and the number of loaves of bread to calculate the number of people.
Numberofpeople=3times9Number\, of\, people =3 \\times9

STEP 7

Calculate the number of people.
Numberofpeople=3times9=27Number\, of\, people =3 \\times9 =2727 people will consume9 loaves of bread.

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