Question

In 3/4 pound of a spice mix, there is 5/6 cup of cinnamon. How much cinnamon does the spice mix contain per pound? A. 5/8 ​ B. 9/10 ​ C. 1 1/9 ​ ​ D. 1 3/5

Answer 1

Answer:

option C

Step-by-step explanation:

In 3/4 pound of a spice mix, there is 5/6 cup of cinnamon

The ration of spice mix over Cinnamon is

$\frac{\frac{3}{4} }{\frac{5}{6} } =\frac{3}{4} \cdot \frac{6}{5} =\frac{9}{10}$

Let x be the spice mix per pound

make a proportion

$\frac{9}{10} =\frac{1}{x}$

cross multiply

$9x=10\\x=\frac{10}{9}\\x= 1 \frac{1}{9}$

option C is the answer