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Q.

Kristian is making bread using this recipe. She observes that her sister consumed the majority of the sugar syrup for her breakfast. Kristian decides to prepare a little slice of bread because she only has 1 6 cup of syrup. How much water is she supposed to use?


Recipe for bread:


1 cup instant oats, 2 cup sugar powder, 1 3 cups sugar syrup, 1 tablespoon of cooking oil, 1 1 3 cups sugar syrup, 1 tablespoon of cooking oil, cups water, 3 tablespoons yeast, 1 teaspoon salt.


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a

1 3

b

2 3

c

4 3

d

7 3  

answer is B.

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Detailed Solution

It is given that Kristian is making bread using the recipe. She observes that her sister consumed the majority of the sugar syrup for her breakfast and now she is left with 1 6 cup of syrup.
We know that if two quantities x and y vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e. x y =k, where k is a constant positive number.
If one ingredient is reduced in quantity for a perfect bread recipe, the other ingredients must also be reduced proportionately.
Let’s assume the quantity of ingredients decreased is represented by variables as shown in below table.
Question ImageSince, Kristian needed 1 3 cups of sugar syrup for each slice of bread but she only has 1 6 cup of syrup, the new quantity of ingredients will be in proportion of 1 2 .
Since the recipe needed 1 1 3 cups of water, but the new quantity of ingredients will be in proportion of 1 2 , therefore Kristian have to use now 2 3 cups of water.
Hence, option (2) is correct.
 
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