There are

9
red marbles and
2
blue marbles in a bag.
(a) What is the ratio of blue marbles to red marbles?


(b) What is the ratio of all marbles in the bag to blue marbles?

(a) The ratio of blue marbles to red marbles is 2:9.

(b) The ratio of all marbles in the bag to blue marbles is 11:2.

(a) To find the ratio of blue marbles to red marbles, we divide the number of blue marbles by the number of red marbles:

2 blue marbles / 9 red marbles.

So, the ratio of blue marbles to red marbles is 2:9.

(b) To find the ratio of all marbles in the bag to blue marbles, we divide the total number of marbles in the bag by the number of blue marbles:

11 marbles (9 red + 2 blue) / 2 blue marbles.

So, the ratio of all marbles in the bag to blue marbles is 11:2.