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

Answer:

Krutika gets 27 sweets

Step-by-step 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

$\frac{x}{y}=\frac{4}{3}$

$x=\frac{4}{3}y$ ----> equation A

$\frac{x}{z}=\frac{4}{3}$

$x=\frac{4}{3}z$ ----> 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

$z+9=\frac{4}{3}z$

solve for z

$\frac{4}{3}z-z=9$

$\frac{1}{3}z=9\\z=27\ sweets$

therefore

Krutika gets 27 sweets