There are 6 red marbles and 8 blue marbles in a bag.(a) What is the ratio of all marbles in the bag to blue marbles?(b) What is the ratio of red marbles to all marbles in the bag?
Question
There are 6 red marbles and 8 blue marbles in a bag.(a) What is the ratio of all marbles in the bag to blue marbles?(b) What is the ratio of red marbles to all marbles in the bag?
Solution
(a) The total number of marbles in the bag is 6 (red) + 8 (blue) = 14 marbles. The ratio of all marbles to blue marbles is therefore 14:8. This can be simplified by dividing both numbers by their greatest common divisor, which is 2. So, the simplified ratio is 7:4.
(b) The ratio of red marbles to all marbles in the bag is 6:14. This can be simplified by dividing both numbers by their greatest common divisor, which is 2. So, the simplified ratio is 3:7.
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