A total of 420 green marbles and red marbles were put into Box A
and Box B respectively. There were 1 1/2 times as many red marbles as
green marbles. Some yellow marbles were put into Box B. For every
3 green marbles in Box A, 16 blue ones were added into Box A.
Box A then had four times as many marbles as Box B. What was the
ratio of the number of yellow marbles to the number of blue marbles?
I have looked at this question and I do not think that there is enough information given.
When you get the answer (preferably with working) can you please share it with this forum.
Yes I understand that, I was not accusing you of leaving anything out.
I just wonder if the original asker of the question left something out.
I assume you copied and pasted the question?
"A total of 420 green marbles and red marbles were put into Box A
and Box B respectively. There were 1 1/2 times as many red marbles as
green marbles. Some yellow marbles were put into Box B. For every
3 green marbles in Box A, 16 blue ones were added into Box A.
Box A then had four times as many marbles as Box B. What was the
ratio of the number of yellow marbles to the number of blue marbles?"
420 green and red marbles Put into box A and
Box B respectively
1 1/2 times as many red marble as green
marble
-> Let green marble x
3/2x + x = 420
5x = 840
x = 168 = green marble in Box A
Red marble = 252 in Box B
Some yellow marble in Box B
Let's say y no. of yellow marble in B added
for every 3 green marbles in A, 16 blue were
added in Box A
-> green marble in A = 168
for every 3, 16 blue added = 168/3 * 16
= 896 blue added
Now Box A had four times as B
896 + 168 = (252 + y) 4
252 + y = 266
y = 14
Yellow added were 14
now, what is the ratio of number of yellow
to the number of blue marbles
= 14/896
= 1/64
= 1:64