perplexus.info :: Just Math : Red and Blue chips

Red and Blue chips (Posted on 2024-01-28)

Jane and Fred each have their own collection of red and blue bingo chips. The ratio of the number of Jane’s chips to the number of Fred’s chips is 3:2. When they combine their chips, the ratio of the number of red chips to the number of blue chips is 7:3. For Jane’s chips, the ratio of the number of red chips to the number of blue chips is 4:1.

What is the ratio of the number of red chips to the number of blue chips for Fred’s bingo chips?

No Solution Yet Submitted by Danish Ahmed Khan

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solution

| Comment 1 of 3

Fred's ratio is x/1

Jane's ratio is 4/1

Combined, in weighted average, it's (3*x/1 + 2*4/1) / 5 = 3*x/5 + 8/5 = (3*x+8)/5

(3*x+8)/5 = 7/3

9*x + 24 = 35

9*x = 11

x = 11/9

Posted by Charlie on 2024-01-28 11:22:18

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