Question

there are 7 red marbles and 6 blue marbles in a bag.
(a) what is the ratio of blue marbles to all marbles in the bag?
(b) what is the ratio of red marbles to blue marbles?

Explanation:

Step1: Calculate total marbles

$7 + 6 = 13$

Step2: Find blue to total ratio

$\text{Ratio} = \frac{\text{Blue marbles}}{\text{Total marbles}} = \frac{6}{13}$

Step3: Find red to blue ratio

$\text{Ratio} = \frac{\text{Red marbles}}{\text{Blue marbles}} = \frac{7}{6}$

Answer:

(a) $\frac{6}{13}$
(b) $\frac{7}{6}$