Answer: 3 cups of water will be needed .
Step-by-step explanation:
Since we have given that
[tex]\frac{1}{4}\text{ cups of corn grits for every }\frac{1}{2}\text{ cups of water}[/tex]
so,
[tex]\text{ For every }\frac{1}{4}\text{ cups of corn grits, cup of water is needed }=\frac{1}{2}[/tex]
[tex]\text{ For every }1\text{ cup of corn grits, cup of water is needed }=\frac{\frac{1}{2}}{\frac{1}{4}}=2[/tex]
[tex]\text{ For every }1\frac{1}{2}=\frac{3}{2}\text{ cups of corn grits, cup of water is needed }=\frac{3}{2}\times 2=3[/tex]
Hence, 3 cups of water will be needed .
The quantity of water that would be needed if he uses [tex]1\frac{1}{2}[/tex] cup of corn grits is 3 cups of water.
Given the following data:
To determine the quantity of water that would be needed if he uses [tex]1\frac{1}{2}[/tex] cup of corn grits, we would apply direct proportion:
By direct proportion:
[tex]\frac{1}{4}[/tex] cup of corn = [tex]\frac{1}{2}[/tex] cup of water
[tex]1\frac{1}{2}[/tex] cup of corn = X cup of water
Note: [tex]1\frac{1}{2}=\frac{3}{2}[/tex]
Cross-multiplying, we have:
[tex]X \times \frac{1}{4} = \frac{1}{2} \times \frac{3}{2} \\\\\frac{X}{4} = \frac{3}{4} \\\\4X = 12\\\\X=\frac{12}{4}[/tex]
X = 3 cups of water
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