Answer:
1.6 cups
Step-by-step explanation:
Let's make a proportion using the following set up.
cups of sugar/batches=cups of sugar/batches
We know that 0.4 cups of sugar are needed for 1 batch of cookies. We don't know how many cups of sugar are needed for 4 batches. Therefore, we can say that x cups of sugar are needed for 4 batches.
0.4 cups of sugar/1 batch=x cups of sugar/4 batches
0.4/1=x/4
We want to find out what x (cups of sugar for 4 batches) is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 4. The opposite of division is multiplication. Multiply both sides of the equation by 4.
4*(0.4/1)=(x/4)*4
4*(0.4/1)=x
4*0.4=x
1.6=x
Add appropriate units. IN this case, the units are cups.
x=1.6 cups
4 batches of cookies will require 1.6 cups of sugar.