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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.

ERATIOS PROPORTIONS AND PERCENTSWord Problem On Proportions Problem Type 26FCloudyEach Marble Bag Sold By Rafaels Marble Company Contains 3 Purple Marbles For E class=

Sagot :

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.

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