A bag contains 3 different marbles x, y and z. The total number of marbles in the bag is 27. The ratios are x:y = 1:2 and y:z = 1:3. Find the number of z marbles in the bag.

Here are the solutions to the problems.

---

Question 6:
A bag contains 3 different marbles $x, y$ and $z$. The total number of marbles in the bag is 27.
The ratios are $x:y = 1:2$ and $y:z = 1:3$.

a) Find the number of $z$ marbles in the bag:

Step 1: Combine the ratios to find $x:y:z$.
Given $x:y = 1:2$.
Given $y:z = 1:3$.
To combine these, we make the $y$ component consistent. Multiply the second