‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️ A recipe calls for 6 cups of water and 4 cups of flour. a. What is the ratio of water to flour?
b. If the recipe is increased to use 6 cups of flour, how much water should be used?
c. If the recipe is decreased to use 2 cups of water, how much flour should be used?

Answers:

Work Shown:

Problem 1

6 cups water: 4 cups flour

(6/2) cups water: (4/2) cups flour

3 cups water: 2 cups flour

3:2 is the ratio of water to flour

In the second step, I divided both parts by the GCF 2 to reduce the ratio.

Problem 2

(3 cups water)/(2 cups flour) = (x cups water)/(6 cups flour)

3/2 = x/6

3*6 = 2*x ... cross multiply

18 = 2x

2x = 18

x = 18/2

x = 9

You'll need 9 cups of water

Problem 3

(3 cups water)/(2 cups flour) = (2 cups water)/(y cups flour)

3/2 = 2/y

3y = 2*2

3y = 4

y = 4/3

y = (3+1)/3

y = 3/3 + 1/3

y = 1 + 1/3

y = 1 & 1/3

You'll need 1 & 1/3 cups of flour

This value is a mixed number with the first "1" being the whole part, and the 1/3 being the fractional part.

This is saying you'll need 1 full cup of flour, plus an additional one-third cup of flour to go on top of that.

2

step-by-step explanation: