Question

If 8 out of 10 dentists approve a certain brand of toothpaste, what is the ratio of dentist who approve the toothpaste to those who do not, given in simplified form? ((4)/(5))/((0.8)/(1))

Answer 1

The ratio of dentists who approve of the toothpaste to those who don't is 20:1. This is found by simplifying the approval rate 8 out of 10 to 4 out of 5 and setting up a ratio against the disapproval rate of 1 out of 5, which simplifies to 20:1.

Step-by-step explanation:

When we consider that 8 out of 10 dentists approve a certain brand of toothpaste, this means that the approval rate is 80%. To find the ratio of dentists who approve the toothpaste to those who do not, we can set up a ratio in which the number of approvals is divided by the number of disapprovals. Firstly, we simplify 8 out of 10, which gives us 4 out of 5 or 4/5. We know that 2 out of 10 dentists do not approve, which is equivalent to 1 out of 5 or 1/5. Now, we can set up the ratio as follows:

4/5 : 1/5

To simplify this ratio, we divide both sides by the smaller part which is 1/5:

(4/5) ÷ (1/5) = 4 × (5/1) = 20

Therefore, the simplified ratio of dentists who approve the brand of toothpaste to those who do not is 20:1.