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Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?

Question

Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?

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Solution

To determine whose milk is more chocolaty, we need to find out who has a higher ratio of chocolate syrup to milk.

For Amanda, the ratio is 1 ounce of chocolate syrup to 6 ounces of milk, or 1:6.

For Brian, the ratio is 2 ounces of chocolate syrup to 10 ounces of milk, or 1:5 (since 2:10 simplifies to 1:5).

Since 1:5 is a higher ratio than 1:6, Brian's milk is more chocolaty.

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