Question

In this line of circles, the ratio of red circles to blue circles is 1:3. How many more red circles would need to be added to make the ratio of red to blue 4:1.

Answer 1

To make the ratio of red to blue circles 4:1, we need to add 11 more red circles to the existing blue circles.

Step-by-step explanation:

To make the ratio of red to blue circles 4:1, we need to determine how many more red circles are needed. The given ratio is 1:3, which means for every 1 red circle, there are 3 blue circles. In order to achieve a ratio of 4:1, we need to add more red circles to the existing blue circles.

Let's assume we currently have 1 red circle and 3 blue circles. To find how many more red circles are needed, we can set up a proportion: (1+x)/3 = 4/1, where x represents the number of red circles to be added. By cross-multiplying, we get 1+x = 12. Solving for x, we find that we need to add 11 more red circles to make the ratio 4:1.