Question

A brownie recipe requires one and one third cups of sugar to one cup of chocolate chips. If four and two thirds cups of sugar is used, what quantity of chocolate chips will be needed, according to the recipe?
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Answer 1

It is important to first simplify the numbers that are given in the question. It will make the problem easier to solve.

Amount of sugar required to make a brown recipe = 1 1/3
                                                                                = 4/3 cups
Amount of chocolate chips required = 1 cup
Amount of sugar required in the second case = 4 2/3
                                                                         = 14/3 cups
Now let us get down to the problem.
Amount of chocolate chips required for 4/3 cups of sugar = 1
Then
Amount of chocolate chips required
for 14/3 cups of sugar = (14/3)/(4/3)
                                    = 14/4
                                    = 7/2
                                    = 3 1/2 cups
From the above deduction, it can be concluded that 3 1/2 cups of chocolate chips is required.