if 1/2 cup of sugar is used to make 48 cookies how many cookies 2 ¼ cups of sugar?
rate=48cookies/.5Csugar
cookies=rate*sugar
cookies=48/.5 * 2.25
= 96*2.25
48 cookies/.5 cups = 96 cookies/1 cup
2.25 cups * (96 cookies/cup) = 216 cookies
To find out how many cookies can be made with 2 ¼ cups of sugar, we need to use a ratio.
The ratio we can use here is the ratio of the amount of sugar to the number of cookies.
Given that 1/2 cup of sugar makes 48 cookies, we can write the following ratio:
1/2 cup of sugar : 48 cookies
We need to find out how many cookies can be made with 2 ¼ cups of sugar.
To compare this with the given ratio, we can convert 2 ¼ cups to an equivalent fraction with a common denominator:
2 ¼ cups = (8/4 + 1/4) cups = 9/4 cups
Now we can set up the proportion:
(1/2 cup) / (48 cookies) = (9/4 cups) / (x cookies)
Cross-multiplying, we get:
(1/2) * x = (48) * (9/4)
Multiplying both sides by 2, we get:
x = (48) * (9/4) * (2)
Calculating, we find:
x = 216 cookies
Therefore, 2 ¼ cups of sugar can be used to make 216 cookies.
To find out how many cookies can be made with 2 ¼ cups of sugar, we need to figure out the ratio of sugar to cookies.
Given that 1/2 cup of sugar makes 48 cookies, we can set up a proportion to find the number of cookies that can be made with 2 ¼ cups of sugar.
Let's start by converting 2 ¼ cups to a fraction. Since there are 4 quarters in a whole, 2 ¼ cups can be written as (2 * 4 + 1)/4 = 9/4 cups.
Now, we can set up the proportion:
(1/2 cup sugar) / (48 cookies) = (9/4 cups sugar) / (x cookies)
To solve for x (the number of cookies), we can cross-multiply and solve for x:
(1/2) * x = (48 * 9/4)
First, multiply 48 by 9:
(1/2) * x = 432/4
Next, simplify the fraction:
(1/2) * x = 108
To isolate x, multiply both sides by 2:
x = 2 * 108
x = 216
Therefore, 2 ¼ cups of sugar can be used to make 216 cookies.