Answer to Question #100571 in Algebra for zack

Question #100571

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her teacher friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need? *

Expert's answer

Firstly find the greatest common divisor of 30 and 48: 30 / 6 = 5; 48 / 6 = 8, so the greatest common divisor is 6, it means that Kiara needs 6 plastic containers which include 30 / 6 = 5 oatmeal cookies and 48 / 6 = 8 chip cookies.

Answer: 6 containers.

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Comments

Assignment Expert

08.04.20, 16:23

You are welcome.

Zhivko

08.04.20, 15:58

Thank you for your quick and professional answers! Best wishes!

Assignment Expert

08.04.20, 15:40

You are right.

Zhivko

08.04.20, 14:34

Thank you for your replies! However, I think the question should be "... If she wants each container to have the least number of cookies possible, how many plastic containers does she need?"

Zhivko

08.04.20, 14:07

But then 5 and 8 (from the presented solution) are not equal either?

Assignment Expert

08.04.20, 13:26

Thank you for leaving a feedback. At first sight, one container with 30+48 cookies would be great. According to conditions of the question, one must note that each container has the same number of each kind of cookie, but in the option 'one container with 30+48 cookies' and 'two containers with 15+24 cookies each' this condition is not met because 30 and 48 are not equal, 15 and 24 are not equal.

Zhivko

08.04.20, 12:31

Surely, if Kiera splits all the cookies into one (30 + 48) or two (15+24 each) containers, then each container will have more cookies than in the solution.

Answer to Question #100571 in Algebra for zack

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