Question

In Joe's fish tank, there are 6 goldfish and 14 snails. How does the ratio 14:20 describe Joe's fish tank?

A) 7:10
B) 3:7
C) 14:6
D) 2:7

Answer 1

The ratio of snails to the total number of creatures in Joe's fish tank is given as 14:20. After simplifying this ratio by dividing both terms by 2, we get 7:10, which accurately describes the ratio of snails to total creatures. The correct answer is Option A) 7:10.

Step-by-step explanation:

The question provided by the student asks about the ratio of goldfish to snails in Joe's fish tank and which of the options correctly describes the tank's population. There are 6 goldfish and 14 snails in the tank. The ratio of snails to the total number of creatures in the tank (goldfish + snails) is given as 14:20. To simplify this ratio, we divide both numbers by the greatest common divisor, which is 2, resulting in the simplified ratio of 7:10. Therefore, the correct answer to how the ratio 14:20 describes Joe's fish tank is Option A) 7:10.

Step-by-Step Explanation:

1. Count the number of goldfish: there are 6 goldfish in the tank.
2. Count the number of snails: there are 14 snails in the tank.
3. Calculate the total number of creatures: 6 goldfish + 14 snails = 20 creatures.
4. The given ratio is snails to total creatures, which is 14 snails to 20 creatures or 14:20.
5. To simplify the ratio, divide both terms by their greatest common divisor. In this case, 14 and 20 can both be divided by 2.
6. After dividing, we get the simplified ratio of 7:10.

The option that matches this simplified ratio is A) 7:10, which accurately represents the ratio of snails to total creatures in Joe's fish tank.