In a fast-food restaurant, the ratio of people eating hamburgers to people eating chicken is 4 :3. There are 84 people in the reasturant. How many people are eating hamburgers and how many are eating chicken?

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Answer 1 · 2015-05-23T17:03:13

If we put $h$ as the number of people eating hamburger and $c$ the number of people eating chicken, then:

$4:3=h:c$ .

There is a property, called composition property, that says:

$a:b=c:drArr(a+b):a=(c+d):c$

or:

$a:b=c:drArr(a+b):b=(c+d):d$ .

So:

$(4+3):4=(h+c):hrArr7:4=84:hrArrh=(84*4)/7=48$

$c=84-48=36$ .