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Answer :
Final Answer:
For 6 cups of flour, you would need 9 tablespoons of shortening.
Explanation:
To determine how many tablespoons of shortening are required for 6 cups of flour, we first need to identify the ratio of flour to shortening as given in the recipe, and then use this ratio to calculate the required amount of shortening.
The given recipe calls for:
- 4 cups of flour to 6 tablespoons of shortening
Let's set this up as a ratio:
[tex]\[ \frac{\text{cups of flour}}{\text{tablespoons of shortening}} = \frac{4}{6} \][/tex]
This can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 2:
[tex]\[ \frac{4 \div 2}{6 \div 2} = \frac{2}{3} \][/tex]
So the simplified ratio is:
[tex]\[ \frac{2}{3} \][/tex]
This means for every 2 cups of flour, you need 3 tablespoons of shortening.
Now we need to find out how many tablespoons of shortening are needed for 6 cups of flour. Since the ratio is 2 cups of flour to 3 tablespoons of shortening, we can set up a proportion to solve for the unknown quantity of shortening (which we'll call x) needed for 6 cups of flour.
[tex]\[ \frac{2}{3} = \frac{6}{x} \][/tex]
To solve for x, we can cross-multiply:
[tex]\[ 2 * x = 6 * 3 \\\\\[ 2x = 18 \][/tex]
Divide both sides by 2 to isolate x:
[tex]\[ x = \frac{18}{2} \\\\\[ x = 9 \][/tex]
Therefore, for 6 cups of flour, you would need 9 tablespoons of shortening.
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