For this case we convert the mixed numbers to improper fractions:[tex]3 \frac {1} {4} = \frac {4 * 3 + 1} {4} = \frac {12 + 1} {4} = \frac {13} {4}\\2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {4 + 1} {2} = \frac {5} {2}[/tex]
Now, we propose a rule of three:
[tex]\frac {13} {4}[/tex]pounds of blueberries ------------->[tex]\frac {5} {2}[/tex]cups of muffin mix
7 pounds of blueberries -----------------------------> x
Where the variable "x" represents the number of cups of muffin mix that Honey should use.
[tex]x = \frac {7 * \frac {5} {2}} {\frac {13} {4}}\\x = \frac {\frac {35} {2}} {\frac {13} {4}}\\x = \frac {35 * 4} {2 * 13}\\x = \frac {140} {26}\\x = \frac {70} {13}\\x = 5.38[/tex]
So approximately Honey should use [tex]5 \frac {5} {13}[/tex] cups of muffin mix
Answer:
Approximately Honey should use [tex]5 \frac {5} {13}[/tex] cups of muffin mix
