A recipe for cookies calls for 2 cups of flour to make 6 cookies. Which appropriate equation can Mary use to find the number of cups of flour she needs to make 10 cookies? *
2 / 6 = x / 10
Since:
2 / 6 = 2 ∙ 1 / 2 ∙ 3 = 1 / 3
1 / 3 = x / 10
What are the answer choices, or is it a short answer response?
To find the number of cups of flour Mary needs to make 10 cookies, we can set up a proportion.
A proportion is an equation that compares two equivalent ratios. In this case, the ratio we have is 2 cups of flour to 6 cookies.
The ratio can be written as 2/6, which simplifies to 1/3 (by dividing both the numerator and denominator by 2).
Now, we can set up the proportion using this information:
(2 cups of flour) / (6 cookies) = (x cups of flour) / (10 cookies)
Here, "x" represents the number of cups of flour Mary needs to make 10 cookies.
Cross-multiplying, we get:
2 * 10 = 6 * x
20 = 6x
To solve for "x," we can divide both sides of the equation by 6:
x = 20 / 6
x ≈ 3.33
Therefore, Mary needs approximately 3.33 cups of flour to make 10 cookies.