Question

PLEASE HELP 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? 5/8 cup ​ 9/10 ​ cup ​ 1 1/9 ​ cups ​ 1 3/5 ​ cups

Answer 1

Answer:

Option 3 - $1\frac{1}{9}$  

Step-by-step explanation:

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

To find : How much cinnamon does the spice mix contain per pound?

Solution :  

In $\frac{3}{4}$ pounds of a spice mix have $\frac{5}{6}$ cup of cinnamon.

So, In In 1 pounds of a spice mix have $\frac{\frac{5}{6}}{\frac{3}{4}}$ cup of cinnamon.

Now, we solve the fraction

$=\frac{\frac{5}{6}}{\frac{3}{4}}$

$=\frac{5\times 4}{6\times 3}$

$=\frac{10}{9}$  

$=1\frac{1}{9}$  

Therefore, Option 3 is correct.

Cinnamon does the spice mix contain per pound is $=1\frac{1}{9}$ cup.

Answer 2

Let's use ratio and proportion or rates to solve this
If there is 5/6 cup of cinnamon in a 3/4  pound of spice mix, how many are in a pound?
5/6=3/4
    ?=1
1/ (3/4)*5/6=10/9
Therefore there are 10/9 cups of cinnamon in 1 pound of spice mix