Answered

A bag of marbles contained 24 white marbles and 33 yellow marbles (and no other marbles). For a game, marbles of each color were chosen from the bag. Of the 24 white marbles, [tex]$\frac{5}{6}$[/tex] were chosen.

Use the information to answer the questions below.
If not enough information is given to answer a question, click on "Not enough information."

\begin{tabular}{|l|l|}
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(a) How many of the bag's white marbles were not chosen? \\
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(b) How many of the bag's yellow marbles were chosen? \\
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(c) How many of the bag's marbles were chosen? \\
\hline
\end{tabular}



Answer :

GinnyAnswer
Let’s address each part of the problem with the provided information:

(a) How many of the bag's white marbles were not chosen?

Given:
- Total number of white marbles: 24
- Fraction of white marbles chosen: [tex]\(\frac{5}{6}\)[/tex]

To find out how many white marbles were not chosen, we need to first find how many were chosen.

Number of white marbles chosen = [tex]\(\frac{5}{6} \times 24 = 20\)[/tex]

To find the number of white marbles not chosen:
Total white marbles - White marbles chosen = [tex]\(24 - 20 = 4\)[/tex]

So, the number of white marbles not chosen is [tex]\(4\)[/tex].

(b) How many of the bag's yellow marbles were chosen?

Given:
- Total number of yellow marbles: 33

There is no information provided about the fraction or number of yellow marbles chosen. Therefore, we do not have enough information to determine how many yellow marbles were chosen.

So, the answer is: Not enough information

(c) How many of the bag's marbles were chosen?

To determine the total number of marbles chosen, we need:
- The number of white marbles chosen: 20 (already calculated)
- The number of yellow marbles chosen: Not enough information (as established in part (b))

Without knowing how many yellow marbles were chosen, we cannot determine the total number of marbles chosen.

So, the answer is: Not enough information