Question

In a fish tank, the ratio of orange fish to blue fish is 4:3. Which statement is true?

3/4 of the fish in the tank are blue
if there is a total of 56 fish in the tank,than 24 of the fish are orange
The number of orange fish is 1 1/3 times the number of blue fish.
If there are 12 blue fish in the tank, then there are 18 orange fish.

Answer 1

A ratio is seen as 4 vs 3 so out of 4+3=7, 4 are orange and 3 are blue.
4/7 are orange, 3/7 are blue
The number of orange fish is 1 1/3 times the number of blue bc 4/3 and 4/7÷3/7 equals 1 1/3

Answer 2

b) The number of orange fish is 1 1/3 times the number of blue fish.

Explanation:

We are given the following information in the question:

In a fish tank, the ratio of orange fish to blue fish is 4:3.

Thus, we can write:

`\displaystyle\frac{\text{Orange fish}}{\text{Blue fish}} = (4)/(3)`

Thus, total number of fishes in the tank can be written as:

`\text{Number of orange fish  + Number of blue fish}\\= 4x + 3x = 7x`

a) False

If there is a total of 56 fish in the tank,than 32 of the fish are orange

Total number of fish = 56

`7x = 56\\x = 8\\\text{Number of orange fish } = 4x = 32`

b)True

`\text{Number of orange fish} = 1\displaystyle(1)/(3)\text{Number of blue fish}\\\\\displaystyle\frac{\text{Orange fish}}{\text{Blue fish}} = 1(1)/(3) = (4)/(3)`

c) False

If there are 12 blue fish in the tank, then there are 16 orange fish.

Number of blue fish = 12

`\displaystyle\frac{\text{Orange fish}}{\text{Blue fish}} = (4)/(3) \\\\\frac{\text{Number of Orange fish}}{12} = (4)/(3)\\\\\text{Number of orange fish} = 16`