A recipe calls for 2 cups of milk every 6 1/4 Of flour. If you increase the flour to 43 3/4, how many cups of milk will you use?

Respuesta :

Answer:

14 Cups

Step-by-step explanation:

43 3/4 = 43.75

6 1/4 = 6.25

43.75 % 6.25 = 7 x 2 = 14

For this case we have to convert the mixed numbers into fractions:

[tex]6 \frac {1} {4} = \frac {4 * 6 1} {4} = \frac {24 1} {4} = \frac {25} {4}\\43 \frac {3} {4} = \frac {4 * 43 3} {4} = \frac {172 3} {4} = \frac {175} {4}[/tex]

We propose a rule of three:

2 milk -----------> [tex]\frac {25} {4}[/tex] flour

x -------------------->[tex]\frac {175} {4}[/tex]

Where "x" represents the amount of milk for [tex]\frac {175} {4}[/tex] cups of flour.

[tex]x = \frac {\frac {175} {4} * 2} {\frac {25} {4}}\\x = \frac {\frac {350} {4}} {\frac {25} {4}}\\x = \frac {350 * 4} {25 * 4}\\x = 14[/tex]

Thus, 14 cups of milk will be used

Answer:

14 cups