MATHEMATICS HIGH SCHOOL

Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of corn grits? Enter the number in the box.

Answers

Answer 1

Answer:

The quantity of water that would be needed if he uses $1(1)/(2)$ cup of corn grits is 3 cups of water.

Given the following data:

Quantity of corn A = $(1)/(4)$ cup of corn

Quantity of water A= $(1)/(2)$ cup of water

Quantity of corn B = $1(1)/(2)$ cup of corn

To determine the quantity of water that would be needed if he uses $1(1)/(2)$ cup of corn grits, we would apply direct proportion:

By direct proportion:

$(1)/(4)$ cup of corn = $(1)/(2)$ cup of water

$1(1)/(2)$ cup of corn = X cup of water

Note: $1(1)/(2)=(3)/(2)$

Cross-multiplying, we have:

$X * (1)/(4) = (1)/(2) * (3)/(2) \n\n(X)/(4) = (3)/(4) \n\n4X = 12\n\nX=(12)/(4)$

X = 3 cups of water

Answer 2

Answer:

Answer: 3 cups of water will be needed .

Step-by-step explanation:

Since we have given that

$(1)/(4)\text{ cups of corn grits for every }(1)/(2)\text{ cups of water}$

so,

$\text{ For every }(1)/(4)\text{ cups of corn grits, cup of water is needed }=(1)/(2)$

$\text{ For every }1\text{ cup of corn grits, cup of water is needed }=((1)/(2))/((1)/(4))=2$

$\text{ For every }1(1)/(2)=(3)/(2)\text{ cups of corn grits, cup of water is needed }=(3)/(2)* 2=3$

Hence, 3 cups of water will be needed .

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