a cookie recipe calls for a ratio of 4 cups of flour to 3 cups of sugar in order to make a dozen cookies. If Ben wants to make 30 cookies how many cups of sugar are needed?

3/12 = x/30

Cross multiply and solve for x.

You doing cups of flour to cups of sugar. So 4/3 the 4 is the cups of flour and the 3 is the cups of sugar the 30 goes on the bottom because 3x12 is 36 so 4x12 is 48 so u will need 48 cups of sugar

To solve this problem, we can set up a ratio using the given information and then use that ratio to find the number of cups of sugar needed for 30 cookies.

Given ratio: 4 cups of flour to 3 cups of sugar

Step 1: Find the ratio of flour to sugar per dozen cookies.
Since the ratio is given for a dozen cookies, we can interpret it as 4 cups of flour to 3 cups of sugar for 12 cookies.

So, for every 12 cookies, we need 3 cups of sugar.

Step 2: Use the ratio to find the number of cups of sugar needed for 30 cookies.
Since we want to make 30 cookies, we can set up a proportion using the ratio from step 1:

12 cookies / 3 cups of sugar = 30 cookies / x cups of sugar

Cross-multiplying, we get:
12x = 30 * 3

Simplifying, we have:
12x = 90

Step 3: Solve for x (the number of cups of sugar needed).
Dividing both sides of the equation by 12, we get:
x = 90 / 12

Calculating this, we find:
x = 7.5

Therefore, Ben would need 7.5 cups of sugar to make 30 cookies.