Solving Proportions with Equivalent Ratios!
A cookie recipe uses 2/3 cups of sugar to make 18 cookies. If Nevin has 1 cup of sugar, how many cookies does hr make?
x : 1 = 18 : 2/3
solve for x
1 cup * (18 cookies / (2/3) cup) = 3 * 18/2 = 27 cookies
To solve this proportion problem, we need to set up an equivalent ratio between the amount of sugar and the number of cookies.
Let's start with the given ratio: 2/3 cups of sugar to 18 cookies.
To find the equivalent ratio, we can set up a proportion by comparing the amount of sugar to the number of cookies.
2/3 cups of sugar = 18 cookies
Now, let's set up the proportion using the given information and the unknown value:
2/3 cups of sugar = 18 cookies
1 cup of sugar = ?
To find the missing value, we can cross multiply and then solve for the unknown:
(2/3) * x = 1 * 18
Cross multiplying gives us:
2x = 3 * 18
Simplifying further:
2x = 54
Finally, divide both sides by 2 to solve for x:
x = 54 / 2
x = 27
Therefore, Nevin can make 27 cookies using 1 cup of sugar.