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the aquarium has 10 more red fish than blue fish. 60 percent of the fish are red. how many blue fish are in the aquarium? show your work.

Sagot :

Firabaehaqi

With system of linear equation in 2 variables, blue fish in the aquarium are 20 fish.

System of linear equation in 2 variables

To begin this system of linear equation in 2 variables, we need to define the variables. Let's say:

Red fish : x

Blue fish : y

  • Condition 1 : 10 more red fish than blue fish

Red fish = Blue fish + 10

x = y + 10

x - y = 10 (1)

  • Condition 2 : 60 percent of the fish are red

Red fish = 60% all fish

Red fish = 60% (red fish + blue fish)

x = 60% (x + y)

x = 3/5 (x + y)

5x = 3(x + y)

5x = 3x + 3y

5x - 3y - 3x = 0

2x - 3y = 0 (2)

After we got 2 equation, we ready to find each of the variable.

x - y = 10

2x - 3y = 0

Let's do elimination. First we need to make one variable has same coefficient in both equations. So we multiply the first equation with 2.

x - y = 10 ---> x2

2x - 3y = 0 ---> x1

Eliminate the same coefficient variable in both equations.

2x - 2y = 20

2x - 3y = 0 -

  0 +   y = 20

          y = 20

After we know one variable, just substitute it in one equation. In this case substitute y = 20 in first equation.

x = y + 10

x = 20 +10

x = 30

Red fish = x = 30

Blue fish = y = 20

Learn more about system of equation here: https://brainly.com/question/9351049

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