Answers:
- a) The ratio of water to flour is 3:2
- b) 9 cups of water
- c) 1 & 1/3 cups of flour
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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.
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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
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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.