In a mixture that uses 3 parts sugar to 5 parts water, what fraction of the mixture is sugar?

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Multiple Choice

In a mixture that uses 3 parts sugar to 5 parts water, what fraction of the mixture is sugar?

Explanation:
Think of the mixture as 8 equal parts in total: 3 parts sugar and 5 parts water. The fraction of the mixture that is sugar is the sugar parts over the total parts, which is 3/8. This directly reflects the given ratio. An equivalent way to express the same proportion is 9/24 (scaled by 3), but the simplest form from the ratio is 3/8. Other fractions don’t match the 3:5 ratio, so they describe different mixtures.

Think of the mixture as 8 equal parts in total: 3 parts sugar and 5 parts water. The fraction of the mixture that is sugar is the sugar parts over the total parts, which is 3/8. This directly reflects the given ratio. An equivalent way to express the same proportion is 9/24 (scaled by 3), but the simplest form from the ratio is 3/8. Other fractions don’t match the 3:5 ratio, so they describe different mixtures.

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