The ratio of flour to sugar in a cookie recipe is 2 ¼ cups of flour to 1 ½ cups of sugar. Mikayla is making cookies for a fundraiser. If she uses 15 ¾ cups of sugar, how much flour will she need?

23 5/8 cups of flour is needed

Step-by-step explanation:

Step 1

The ratio of flour to sugar is 2 ¼cups : 1 ½ cups

Using equivalent ratios, given that 15 ¾ cups of sugar was used ,

let cups of flour needed = x      such that our equation becomes  

flour / sugar =  2 ¼/ 1 ½ = x/ 15 ¾

Step 2--- Solving

2 ¼/ 1 ½ = x / 15 ¾

cross multiplying

2 ¼ x 15 ¾=  1 ½ x X

9/4 X 63/4 = 3/2 X

567/16= 3/2 X

X = 567 /16 X 2/3

1,134/48

X = 23.625 = 23 5/8

Therefore, 23 5/8 cups of flour is needed

the answer

b. they are parallel and will never intersect.