Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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

#SPJ4

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.