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Noor wants to make a batch of trail mix. One batch, which is 4 1/2 cups of trail mix , contains 1/4 of raisins. Is this proportional?

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Answer to a math question Noor wants to make a batch of trail mix. One batch, which is 4 1/2 cups of trail mix , contains 1/4 of raisins. Is this proportional?

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Neal

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105 Answers

Solution:
1. Given:
- Total trail mix batch:

4 \frac{1}{2}

cups
- Fraction of raisins:

\frac{1}{4}

2. Convert the total trail mix batch to an improper fraction:
-

4 \frac{1}{2} = \frac{9}{2}

cups

3. Find the amount of raisins:
- Multiply the total trail mix batch by the fraction of raisins:

\frac{9}{2} \times \frac{1}{4} = \frac{9}{8}

cups

4. Simplify the fractions:
-

\frac{9}{8} = 1 \frac{1}{8}

cups

5. Determine if the proportion holds:
- For every 1 cup of trail mix, the amount of raisins should be:

\frac{1}{4} \text{ cups}

- Check if

1 \frac{1}{8}

cups of raisins is proportional to

4 \frac{1}{2}

cups of trail mix:
- Simplify the ratio:

\frac{1 \frac{1}{8}}{4 \frac{1}{2}} = \frac{\frac{9}{8}}{\frac{9}{2}} = \frac{9}{8} \div \frac{9}{2} = \frac{9}{8} \times \frac{2}{9} = \frac{1}{4}

6. Conclusion:
- The ratio of

1 \frac{1}{8}

cups of raisins to

4 \frac{1}{2}

cups of trail mix is indeed

\frac{1}{4}

, which means the mixture is proportional.

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Noor wants to make a batch of trail mix. One batch, which is 4 1/2 cups of trail mix , contains 1/4 of raisins. Is this proportional?

Answer to a math question Noor wants to make a batch of trail mix. One batch, which is 4 1/2 cups of trail mix , contains 1/4 of raisins. Is this proportional?

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