Question

ERATIOS, PROPORTIONS, AND PERCENTSWord problem on proportions: Problem type 26°FCloudyEach marble bag sold by Rafael's Marble Company contains 3 purple marbles for every 2 red marbles. If a bag has 14 red marbles, how many purple marblesdoes it contain?purple marblesI need help with this problem.

Answer 1

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.

Step-by-step 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,

`\begin{gathered} Ratio=\frac{number\text{ }of\text{ }purple\text{ }marbles}{number\text{ }of\text{ }red\text{ }marbles} \\ (3)/(2)=(x)/(14) \\ x=(3*14)/(2) \\ x=3*7 \\ x=21 \end{gathered}`

Hence, the number of purple marbles is 21.