Available 5472

Alena and Marta want to go on vacation together. Alena lacks CZK 300 to buy the selected ticket, and Marta has 4 times that amount left over. We know that Marta has 50% more CZK available than Alena. How much does a ticket cost?

Correct answer:

x =  3300 Kc

Step-by-step explanation:

$$\begin{gathered} m=a+a/2=1.5a \\ x=a+300 \\ x=m-4\cdot 300 \\ a+300=m-4\cdot 300 \\ a+300=1.5a-4\cdot 300 \\ a+300=1.5\cdot a-4\cdot 300 \\ 0.5a=1500 \\ a=\frac{1500}{0.5}=3000 \\ a=3000 \\ m=1.5\cdot a=1.5\cdot 3000=4500\text{Kc} \\ x=a+300=3000+300=3300\text{Kc} \end{gathered}$$

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