They divided

Jana, Martina, and Zuzka divided the candies in the ratio
3:7:5. Martina received 9 candies less than Jana and Zuzka had together. Which statement is true?

A. Martina received fewer candies than Zuzka.
B. They all received 135 candies together.
C. Martina received 16 more candies than Zuzka.
D. Zuzka got the most candies.

Correct answer:

f = ACD

Step-by-step explanation:

$$\begin{gathered} J:M:Z=3:7:5=3x:7x:5x \\ M=J+Z-9 \\ 7x=3x+5x-9 \\ 7\cdot x=3\cdot x+5\cdot x-9 \\ x=9 \\ x=\frac{9}{1}=9 \\ x=9 \\ J=3\cdot x=3\cdot 9=27 \\ M=7\cdot x=7\cdot 9=63 \\ Z=5\cdot x=5\cdot 9=45 \\ M>Z \\ s=J+M+Z=27+63+45=135 \\ {c}_2=M-Z=63-45=18 \\ f=ACD \end{gathered}$$

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