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A recipe for a loaf of bread calls for [tex]\frac{2}{3}[/tex] of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?

A. 18
B. 16
C. 15
D. 12
E. 8


Sagot :

To determine how many loaves of bread Milo prepared, we need to find out how many times [tex]$\frac{2}{3}$[/tex] of a cup of flour fits into 12 cups of flour.

1. Start with the total amount of flour used, which is 12 cups.
2. A single loaf of bread requires [tex]$\frac{2}{3}$[/tex] of a cup of flour.
3. To find out the number of loaves, divide the total amount of flour by the amount of flour needed per loaf.

The equation we use is:
[tex]\[ \text{Number of loaves} = \frac{\text{Total cups of flour}}{\text{Cups of flour per loaf}} \][/tex]

So,
[tex]\[ \text{Number of loaves} = \frac{12}{\frac{2}{3}} \][/tex]

To divide by a fraction, multiply by its reciprocal:
[tex]\[ \text{Number of loaves} = 12 \times \frac{3}{2} \][/tex]

Calculate the multiplication:
[tex]\[ 12 \times \frac{3}{2} = 12 \times 1.5 = 18 \][/tex]

Thus, the number of loaves Milo prepared is:
[tex]\[ \boxed{18} \][/tex]

So the correct answer is:
A. 18