Question

You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. Each bag should have an equal number of blueberry scones and an equal number of cranberry scones. What is the greatest number of bags you can fill? Explain. Please help immediately!

Answer 1

There could be 25 bags with 2 blueberry scones in each and 3 cranberry scones in each. This is because 25 is a factor of both amounts so you would divide each by 25. That leaves it with 2 blueberry scones and 3 cranberry scones.

Answer 2

Answer: There are 25 bags in all that he can fill.

Step-by-step explanation:

Since we have given that

Number of blueberry scones = 50

Number of cranberry scones = 75

We need to find the greatest number of bags he can fill so that  each bag should have an equal number of blueberry scones and an equal number of cranberry scones.

So, H.C.F. of 50 and 75 = 25

So, there are 25 bags that he can fill.

Number of blueberry scones in each bag would be

$\dfrac{50}{25}=2$

Number of cranberry scones in each bag would be

$\dfrac{75}{25}=3$

Hence, there are 25 bags in all that he can fill.