Candies - splitting

Danka and Janka split a pack of candies in a ratio of 5:7. Jana received four more candies than Danka. How many candies were in the package?

Correct answer:

x =  24

Step-by-step explanation:

$$\begin{gathered} d:j=5:7 \\ 7d=5j \\ j=d+4 \\ 7d=5(d+4) \\ 7\cdot d=5\cdot (d+4) \\ 2d=20 \\ d=\frac{20}{2}=10 \\ d=10 \\ j=d+4=10+4=14 \\ x=j+d=14+10=24 \end{gathered}$$

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