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The ratio of blue balls to red balls is 4: 5. If there are 27 balls in total, how many red balls are there?

User Germi
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Answer:

red balls = 15

Explanation:

It is given that The ratio of blue balls to red balls is 4: 5.

Let's assume

  • number of blue balls = 4x
  • number of red balls = 5x.

If there are 27 balls in total it means that sum of Blue balls and red is equal to 27.

Blue balls + red balls = 27.


:\implies \: \: 4x + 5x = 27


:\implies \: \: 9x = 27


:\implies \: \:x = 27/9


:\implies \: \: x = 3

Number of blue balls = 4x


:\implies \: \: 4 × 3


:\implies \: \: 12 balls

Number of red balls = 5x


:\implies \: \: 5 × 3


:\implies \: \: 15 balls.

Verification :


:\implies \: \: Blue balls + red balls = 27.


:\implies \: \: 12 + 15 27


:\implies \: \: 27 = 27

Hence, Verified!

Therefore, The total number of red balls are 15.

User Brockoli
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