Given
Each marble bag sold by Rafael's Marble Company contains 3 purple marbles for every 2 red marbles.
And, the bag has 14 red marbles.
To find:
The number of purple marbles.
Explanation:
It is given that,
Each marble bag sold by Rafael's Marble Company contains 3 purple marbles for every 2 red marbles.
That implies,
The ratio of purple marbles to red marbles is 3:2.
Since, the bag contains 14 red marbles.
Then,
[tex]\begin{gathered} Ratio=\frac{number\text{ }of\text{ }purple\text{ }marbles}{number\text{ }of\text{ }red\text{ }marbles} \\ \frac{3}{2}=\frac{x}{14} \\ x=\frac{3\times14}{2} \\ x=3\times7 \\ x=21 \end{gathered}[/tex]Hence, the number of purple marbles is 21.