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A large jar contains B blue jelly beans and R red jelly beans. A bag of 100 red and 100 blue jelly beans is added to the jar. What is the ratio of red to blue jelly beans in the jar?

Question

A large jar contains B blue jelly beans and R red jelly beans. A bag of 100 red and 100 blue jelly beans is added to the jar. What is the ratio of red to blue jelly beans in the jar?

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Solution

Sure, let's solve this step by step.

  1. Identify the initial quantities:

    • The jar initially contains B B blue jelly beans.
    • The jar initially contains R R red jelly beans.

  2. Identify the quantities added:

    • A bag containing 100 blue jelly beans is added.
    • A bag containing 100 red jelly beans is added.

  3. Calculate the new total quantities:

    • The new total number of blue jelly beans in the jar is B+100 B + 100 .
    • The new total number of red jelly beans in the jar is R+100 R + 100 .

  4. Determine the ratio of red to blue jelly beans:

    • The ratio of red to blue jelly beans is given by the fraction R+100B+100\frac{R + 100}{B + 100}.

So, the ratio of red to blue jelly beans in the jar is R+100B+100\frac{R + 100}{B + 100}.

This problem has been solved

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