Answer:
There are 6 red marbles in Bag A.
Step-by-step explanation:
<u>Bag A</u>
Red to white marble ratio is 1:3
White to blue marble ratio is 2:3
If we match the amount of white marbles between both ratios we can put together a three-term ratio.
Red to White 2:6
White to Blue 6:9
Red to White to Blue 2:6:9
Then, the total amount of marbles in bag A is given by:
A= 2·x + 6·x + 9·x
<u>Bag B</u>
B= 1·x + 4·x
White marbles
Since the two bags contain 30 white marbles:
30== 6·x + 4·x=10x ⇒ x=3
Then,
:red marbles in bag A
=2·x=2·3=6
There are 6 red marbles in Bag A.