[tex]5\frac{1}{3}[/tex] cups of water will be needed for 2/3 cup of soap.
Step-by-step explanation:
Given,
Water used for bubble recipe = 4
Quantity of soap for bubble recipe = 1/2
Ratio of water cups to soap = 4:1/2
Soap available = 2/3
Let,
x be the water cups.
Ratio of water cups to available soap = x:2/3
Using proportion;
Ratio of water cups to soap :: Ratio of water cups to available soap
[tex]4:\frac{1}{2}::x:\frac{2}{3}[/tex]
Product of mean = Product of extreme
[tex]\frac{1}{2}*x=4*\frac{2}{3}\\\frac{1}{2}x=\frac{8}{3}\\[/tex]
Multiplying both sides by 2
[tex]2*\frac{1}{2}x=\frac{8}{3}*2\\x=\frac{16}{3}[/tex]
In simplest fraction form = [tex]5\frac{1}{3}[/tex]
[tex]5\frac{1}{3}[/tex] cups of water will be needed for 2/3 cup of soap.
Keywords: ratio, proportion
Learn more about proportions at:
- brainly.com/question/6541303
- brainly.com/question/6530759
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