Question

There are some blue and orange markers in a box. The ratio between

blue markers and orange markers is 5 : 3. Then, 10 orange markers are
added to the box. Now the ratio between the two colors is 1 : 1. How
many blue markers are there in the box ?

Answer 1

To find the number of blue markers, we solved the equation derived from the ratio 5x to 3x + 10 equals 1:1, which resulted in there being 25 blue markers in the box.

Step-by-step explanation:

The student's question is about finding the number of blue markers in a box given that the initial ratio of blue to orange markers is 5:3, and after adding 10 orange markers, the ratio becomes 1:1.

Let's denote the number of blue markers as 5x and orange markers as 3x. Since 10 orange markers are added, the new number of orange markers becomes 3x + 10. Now, the ratio between blue and orange markers is 1:1 which means 5x = 3x + 10. Solving this equation:

• Subtract 3x from both sides, which gives us 2x = 10.
• Divide both sides by 2, yielding x = 5.

Therefore, the number of blue markers in the box (5x) is 5 * 5 = 25.