Final answer:
To find the number of yellow balloons out of 100 where the ratio of yellow to blue is 8:12, we can set up an equation to solve for the number of yellow balloons. The number of yellow balloons is 66.
Step-by-step explanation:
To find the number of yellow balloons, we need to first determine the total number of balloons of each color. Given that the ratio of yellow balloons to blue balloons is 8 to 12, we can calculate the number of yellow balloons as follows:
Total number of balloons = 100
Ratio of yellow balloons to blue balloons = 8:12
Let x be the number of yellow balloons.
Using the ratio, we can set up the equation 8/12 = x/100 and solve for x:
8/12 = x/100
Cross multiplying, we have 12x = 800
Dividing both sides by 12, we get x = 66.67
Since we cannot have a fraction of a balloon, we round down to the nearest whole number. Therefore, there are 66 yellow balloons.