Question

The ratio of clown fish to angel fish at a pet store is 5:4. The ratio of angel fish to goldfish is 4:3. There are 60 clown fish at the pet store:

a. How many angel fish are there?
b. How many goldfish are there?

Answer 1

48 angel fish
36 goldfish

Answer 2

(a) Angel fish = 48

(b) Goldfish = 36

Explanation:

The ratio of clown fish to angel fish at a pet store = 5:4

The ratio of angel fish to goldfish = 4:3

Using these ratios, we conclude that

Clown fish : Angel fish : Goldfish = 5:4:3

Let the number of Clown fish, Angel fish and Goldfish are 5x, 4x and 3x respectively.

There are 60 clown fish at the pet store.

`5x=60`

Divide both sides by 5.

`x=12`

The value of x is 12.

Angel fish :
`4x=4(12)=48`

Goldfish :
`3x=3(12)=36`

Therefore, the number of angel fish and goldfish are 48 and 36 respectively.