Three-fifths 7413

The old mother baked 275 Christmas gingerbreads and kept three-fifths of them, dividing the rest among her children in a ratio of 3:4:2:1. How many gingerbreads did she give each?

Correct answer:

a =  33
b =  44
c =  22
d =  11

Step-by-step explanation:

$$\begin{gathered} x=275-\frac{3}{5}\cdot 275=110 \\ y=\frac{1}{3+4+2+1}\cdot x=\frac{1}{3+4+2+1}\cdot 110=11 \\ a=3\cdot y=3\cdot 11=33 \end{gathered}$$

$b=4\cdot y=4\cdot 11=44$

$c=2\cdot y=2\cdot 11=22$

$d=1\cdot y=1\cdot 11=11$

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