A brownie recipe requires one and one quarter cups of sugar to one cup of chocolate chips. If one and two thirds cups of sugar is used, what quantity of chocolate chips will be needed, according to the recipe?
Question
A brownie recipe requires one and one quarter cups of sugar to one cup of chocolate chips. If one and two thirds cups of sugar is used, what quantity of chocolate chips will be needed, according to the recipe?
Solution
To solve this problem, we need to find out how many times one and two thirds (1 2/3) is bigger than one and one quarter (1 1/4).
Step 1: Convert the mixed numbers to improper fractions.
One and one quarter (1 1/4) is 5/4 as an improper fraction. One and two thirds (1 2/3) is 5/3 as an improper fraction.
Step 2: Divide the larger fraction by the smaller one to find out how many times it is bigger.
5/3 ÷ 5/4 = 20/15 = 4/3
So, one and two thirds is 4/3 times bigger than one and one quarter.
Step 3: Multiply the quantity of chocolate chips by this number to find out how much will be needed.
1 (the quantity of chocolate chips for 1 1/4 cups of sugar) * 4/3 = 4/3 cups of chocolate chips.
So, according to the recipe, if one and two thirds cups of sugar is used, 4/3 cups of chocolate chips will be needed.
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