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there are a total of 100 balloons.if the ratio of yellow balloons to blue balloons is 8 to 12,how many of them are yellow?

User Ashesh
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2 Answers

7 votes

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.

User Alberto Adami
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4 votes
The ratio of yellow balloons to blue balloons is 8:12
Then there are 100 balloons. Making the equation, we are able to have:
8X + 12X = 1000
20x = 1000
X = 50.

Yellow balloons = 8x = 8 * 50 = 400 yellow balloons
Blue balloons = 12X = 12 * 50 = 600 blue balloons

So there are 400 yellows balloons.
User Andrew Lank
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8.3k points