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Each marble bag sold by Melissa's Marble Company contains 5 red marbles for every 7 blue marbles. If a bag has 25 red marbles, how many blue marbles does it contain?bluemarbles

Question

Each marble bag sold by Melissa's Marble Company contains 5 red marbles for every 7 blue marbles. If a bag has 25 red marbles, how many blue marbles does it contain?bluemarbles

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Solution

Sure, let's solve this step by step:

  1. We know that for every 5 red marbles, there are 7 blue marbles. This is a ratio of 5:7.

  2. We are told that a bag contains 25 red marbles. We need to find out how many "sets" of 5 red marbles this represents. We do this by dividing the total number of red marbles by the number of red marbles in each set. So, 25 red marbles ÷ 5 red marbles/set = 5 sets.

  3. Now, we know that for each set of 5 red marbles, there are 7 blue marbles. So, to find the total number of blue marbles, we multiply the number of sets by the number of blue marbles in each set. So, 5 sets × 7 blue marbles/set = 35 blue marbles.

So, if a bag has 25 red marbles, it contains 35 blue marbles.

This problem has been solved

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