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Which ratio of tablespoons of raspberries to tablespoons of sugar would make a fruitier jam?

A. 5 to 6
B. 9 to 10
C. 4 to 10
D. 9 to 6

Answer :

To determine which ratio of raspberries to sugar would make a fruitier jam, we need to compare the given ratios based on how much raspberries there are for each tablespoon of sugar. In simple terms, a fruitier jam will have a higher ratio of raspberries to sugar.

Let's examine each ratio:

1. 5 tablespoons of raspberries to 6 tablespoons of sugar
Ratio: [tex]\( \frac{5}{6} \)[/tex]

2. 9 tablespoons of raspberries to 10 tablespoons of sugar
Ratio: [tex]\( \frac{9}{10} \)[/tex]

3. 4 tablespoons of raspberries to 10 tablespoons of sugar
Ratio: [tex]\( \frac{4}{10} = 0.4 \)[/tex]

4. 9 tablespoons of raspberries to 6 tablespoons of sugar
Ratio: [tex]\( \frac{9}{6} = 1.5 \)[/tex]

Now, let's determine which is the highest ratio. The higher the ratio, the more raspberries there are compared to sugar, thus making the jam fruitier.

- [tex]\( \frac{5}{6} \approx 0.8333 \)[/tex]
- [tex]\( \frac{9}{10} = 0.9 \)[/tex]
- [tex]\( \frac{4}{10} = 0.4 \)[/tex]
- [tex]\( \frac{9}{6} = 1.5 \)[/tex]

Among these, [tex]\( \frac{9}{6} \)[/tex] or 1.5 is the largest value. Therefore, the ratio of 9 tablespoons of raspberries to 6 tablespoons of sugar is the fruitiest mixture for the jam.

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