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Ramón makes nectar for a hummingbird feeder by mixing 8 cups of water with 2 cups of sugar. Tiffany makes nectar by mixing 9 cups of water with 3 cups of sugar. Whose nectar is more sugary? Explain.

Ramón makes nectar for a hummingbird feeder by mixing $8$ cups of water with $2$ cups of sugar. Tiffany makes nectar by mixing $9$ cups of water with $3$ cups of sugar. Whose nectar is more sugary? Explain.

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Add and subtract integers: word problems

Full solution

Q. Ramón makes nectar for a hummingbird feeder by mixing

8

cups of water with

2

cups of sugar. Tiffany makes nectar by mixing

9

cups of water with

3

cups of sugar. Whose nectar is more sugary? Explain.

Calculate Ratio for Ramón: Determine the ratio of sugar to water for Ramón's nectar. Ramón uses $8$ cups of water and $2$ cups of sugar. To find the ratio, divide the amount of sugar by the amount of water. Ratio for Ramón = Sugar/Water = $2$ cups / $8$ cups = $\frac{1}{4}$
Calculate Ratio for Tiffany: Determine the ratio of sugar to water for Tiffany's nectar. Tiffany uses $9$ cups of water and $3$ cups of sugar. To find the ratio, divide the amount of sugar by the amount of water. Ratio for Tiffany = Sugar/Water = $3$ cups / $9$ cups = $\frac{1}{3}$
Compare Ratios: Compare the ratios to determine whose nectar is more sugary. $\newline$ A ratio of $\frac{1}{3}$ means there is more sugar per unit of water than a ratio of $\frac{1}{4}$ . Therefore, Tiffany's nectar is more sugary than Ramón's.

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