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Answer :
To determine which ratio of tablespoons of raspberries to tablespoons of sugar would make a fruitier jam, we need to compare the ratios of raspberries to sugar provided in the options. A fruitier jam would have a higher proportion of raspberries compared to sugar. Let's look at each option:
1. 5 to 6: This ratio means there are 5 tablespoons of raspberries for every 6 tablespoons of sugar. The ratio can be calculated as [tex]\( \frac{5}{6} \)[/tex].
2. 9 to 6: This means there are 9 tablespoons of raspberries for every 6 tablespoons of sugar. The ratio can be calculated as [tex]\( \frac{9}{6} \)[/tex].
3. 4 to 10: This indicates there are 4 tablespoons of raspberries for every 10 tablespoons of sugar. The ratio can be calculated as [tex]\( \frac{4}{10} \)[/tex].
4. 9 to 10: This means there are 9 tablespoons of raspberries for every 10 tablespoons of sugar. The ratio can be calculated as [tex]\( \frac{9}{10} \)[/tex].
Among these options:
- [tex]\( \frac{5}{6} \approx 0.83 \)[/tex]
- [tex]\( \frac{9}{6} = 1.5 \)[/tex]
- [tex]\( \frac{4}{10} = 0.4 \)[/tex]
- [tex]\( \frac{9}{10} = 0.9 \)[/tex]
As you can see, the highest ratio is [tex]\( 1.5 \)[/tex], which comes from the ratio 9 to 6. This means that for every 6 tablespoons of sugar, there are 9 tablespoons of raspberries, making this option the fruitiest jam.
1. 5 to 6: This ratio means there are 5 tablespoons of raspberries for every 6 tablespoons of sugar. The ratio can be calculated as [tex]\( \frac{5}{6} \)[/tex].
2. 9 to 6: This means there are 9 tablespoons of raspberries for every 6 tablespoons of sugar. The ratio can be calculated as [tex]\( \frac{9}{6} \)[/tex].
3. 4 to 10: This indicates there are 4 tablespoons of raspberries for every 10 tablespoons of sugar. The ratio can be calculated as [tex]\( \frac{4}{10} \)[/tex].
4. 9 to 10: This means there are 9 tablespoons of raspberries for every 10 tablespoons of sugar. The ratio can be calculated as [tex]\( \frac{9}{10} \)[/tex].
Among these options:
- [tex]\( \frac{5}{6} \approx 0.83 \)[/tex]
- [tex]\( \frac{9}{6} = 1.5 \)[/tex]
- [tex]\( \frac{4}{10} = 0.4 \)[/tex]
- [tex]\( \frac{9}{10} = 0.9 \)[/tex]
As you can see, the highest ratio is [tex]\( 1.5 \)[/tex], which comes from the ratio 9 to 6. This means that for every 6 tablespoons of sugar, there are 9 tablespoons of raspberries, making this option the fruitiest jam.
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