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
[tex]x:y:z=4:3:3[/tex]
so
[tex]\frac{x}{y}=\frac{4}{3}[/tex]
[tex]x=\frac{4}{3}y[/tex] ----> equation A
[tex]\frac{x}{z}=\frac{4}{3}[/tex]
[tex]x=\frac{4}{3}z[/tex] ----> equation B
[tex]y=z[/tex] ---> equation C
Caroline gets 9 more sweets than Natasha
so
[tex]x=z+9[/tex] ---> equation D
substitute equation D in equation B
[tex]z+9=\frac{4}{3}z[/tex]
solve for z
[tex]\frac{4}{3}z-z=9[/tex]
[tex]\frac{1}{3}z=9\\z=27\ sweets[/tex]
therefore
Krutika gets 27 sweets
