Question

Caroline, Krutika and Natasha share some sweets in the ratio 4:3:3. Caroline gets 9 more sweets than Natasha. How many sweets does Krutika get?

Answer 1

Krutika gets 27 sweets

Explanation:

Let

x ---> number of sweets that Caroline gets

y ---> number of sweets that Krutika gets

z ---> number of sweets that Natasha gets

we know that

`x:y:z=4:3:3`

so

`(x)/(y)=(4)/(3)`

`x=(4)/(3)y` ----> equation A

`(x)/(z)=(4)/(3)`

`x=(4)/(3)z` ----> equation B

`y=z` ---> equation C

Caroline gets 9 more sweets than Natasha

so

`x=z+9` ---> equation D

substitute equation D in equation B

`z+9=(4)/(3)z`

solve for z

`(4)/(3)z-z=9`

`(1)/(3)z=9\\z=27\ sweets`

therefore

Krutika gets 27 sweets