One bunch of cookies requires two eggs in 2 1/2 cups of flour how many cups of flour you need to make 3 1/2 batches of cookies

8 3/4 cups

Step-by-step explanation:

1 batch of cookies            3 1/2 batches

  =    

2 1/2 cups flour                   x cups of flour

using cross products

1 * x = 2 1/2 * 3 1/2

changing 3 1/2 to an improper fraction ( 2*3+1) /2  = 7/2

changing 2 1/2 to an improper fraction  (2*2+1)/2 = 5/2

x = 5/2* 7/2 = 35/4

changing back to a mixed number

4 goes into 35 8 times (4*8 = 32)  with 3 left over

8 3/4 cups

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.