A chocolate chip cookie recipe asks for two and one quarter times as much flour as chocolate chips. If three and three quarters cups of flour is used, what quantity of chocolate chips would then be needed, according to the recipe?
Question
A chocolate chip cookie recipe asks for two and one quarter times as much flour as chocolate chips. If three and three quarters cups of flour is used, what quantity of chocolate chips would then be needed, according to the recipe?
Solution
To solve this problem, we need to set up a proportion. The recipe calls for 2 1/4 times as much flour as chocolate chips. This can be written as 2.25 (in decimal form).
The problem states that 3 3/4 cups of flour is used. This can be written as 3.75 (in decimal form).
We can set up the proportion as follows:
2.25/1 = 3.75/x
We are solving for x, which represents the amount of chocolate chips needed.
To solve for x, we can cross-multiply and divide:
2.25 * x = 3.75 * 1
2.25x = 3.75
To isolate x, we divide both sides by 2.25:
x = 3.75 / 2.25
x = 1.67
Therefore, according to the recipe, you would need approximately 1.67 cups of chocolate chips.
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