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Answer :
To solve the problem, we need to find out how much flour should be mixed with 18 cups of milk, given the ratio of flour to milk is 3 tablespoons of flour to every 2 cups of milk.
Here's how you can think through the steps:
1. Understand the Ratio: The problem tells us that for every 2 cups of milk, we use 3 tablespoons of flour.
2. Set Up a Proportion: Since the ratio of flour to milk is constant, we can set up a proportion to find out how much flour is needed for 18 cups of milk.
[tex]\[
\frac{3 \text{ tablespoons of flour}}{2 \text{ cups of milk}} = \frac{x \text{ tablespoons of flour}}{18 \text{ cups of milk}}
\][/tex]
3. Solve the Proportion: To solve for [tex]\( x \)[/tex], which represents the amount of flour needed for 18 cups of milk, cross-multiply and divide as follows:
[tex]\[
3 \times 18 = 2 \times x
\][/tex]
[tex]\[
54 = 2x
\][/tex]
Divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{54}{2} = 27
\][/tex]
So, you will need 27 tablespoons of flour to mix with 18 cups of milk.
Here's how you can think through the steps:
1. Understand the Ratio: The problem tells us that for every 2 cups of milk, we use 3 tablespoons of flour.
2. Set Up a Proportion: Since the ratio of flour to milk is constant, we can set up a proportion to find out how much flour is needed for 18 cups of milk.
[tex]\[
\frac{3 \text{ tablespoons of flour}}{2 \text{ cups of milk}} = \frac{x \text{ tablespoons of flour}}{18 \text{ cups of milk}}
\][/tex]
3. Solve the Proportion: To solve for [tex]\( x \)[/tex], which represents the amount of flour needed for 18 cups of milk, cross-multiply and divide as follows:
[tex]\[
3 \times 18 = 2 \times x
\][/tex]
[tex]\[
54 = 2x
\][/tex]
Divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{54}{2} = 27
\][/tex]
So, you will need 27 tablespoons of flour to mix with 18 cups of milk.
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