Question 9 of 22intermediate🔧 ApplyNumerical3 marks

I have one bucket of orange paint that I made by mixing red and yellow paints in the ratio of 3 : 5. I added another bucket of yellow paint to this mixture. What is the ratio of red paint to yellow paint in the new mixture?

Correct Answer

Given: Original mixture ratio 3:5 (1 bucket), added 1 bucket of yellow paint

Step 1: Original mixture: ratio 3:5 means total = 8 parts

Step 2: Red = 3/8 bucket, Yellow = 5/8 bucket

Step 3: After adding 1 bucket yellow: New yellow = 5/8 + 8/8 = 13/8 bucket

Step 4: Red remains 3/8 bucket

Step 5: New ratio = 3/8 : 13/8 = 3:13

Answer: The new ratio of red paint to yellow paint is 3:13.

Exercise: Figure it Out (Section 3) | Q: 5 | (Page Page 17)
For More Understanding

Explanation

In the original mixture (1 bucket), red is 3/8 bucket and yellow is 5/8 bucket. After adding 1 more bucket of yellow, the new yellow amount is 5/8 + 1 = 13/8 bucket. Red remains 3/8 bucket. The new ratio is 3/8 : 13/8 = 3:13.

Solution Steps

  1. Step 1: Original mixture: ratio 3:5 means total = 8 parts

  2. Step 2: Red = 3/8 bucket, Yellow = 5/8 bucket

  3. Step 3: After adding 1 bucket yellow: New yellow = 5/8 + 8/8 = 13/8 bucket

  4. Step 4: Red remains 3/8 bucket

  5. Step 5: New ratio = 3/8 : 13/8 = 3:13

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