if greg eats 3 red jelly beans and 6 yellow ones how many yellow were there originally? the ratio is 4:5
Probaly 30 yellows, becuse 4/5 * 3/6 = 12/30.
To determine the number of yellow jelly beans originally, we can set up a proportion using the given ratio.
The ratio of red to yellow jelly beans is 4:5. This means that for every 4 red jelly beans, there are 5 yellow jelly beans.
Let's use x to represent the original number of yellow jelly beans.
The proportion can be set up as:
4 (red jelly beans) : 5 (yellow jelly beans) = 3 (red jelly beans eaten) : x (yellow jelly beans originally)
Cross-multiplying the ratio, we get:
4 * x = 5 * 3
4x = 15
Dividing both sides of the equation by 4:
x = 15 / 4
x = 3.75
Since we can't have a fraction of a jelly bean, it means that there were originally 3.75 yellow jelly beans. However, this doesn't make sense in the context of the problem.
Therefore, we need to adjust the numbers slightly. Let's assume that the original number of yellow jelly beans was a multiple of 4 and 5 in order to maintain the given ratio.
Let's try the next possible whole number multiple of 4 and 5, which is 20.
If there were originally 20 yellow jelly beans, and the ratio is 4:5, then the number of red jelly beans would be (4/5) * 20 = 16.
Since Greg ate 3 red jelly beans and 6 yellow jelly beans, there would now be 16 - 3 = 13 red jelly beans and 20 - 6 = 14 yellow jelly beans remaining.
Therefore, the original number of yellow jelly beans was 20.