Question

In a fishing competition Johannes and Peter together caught 48 fish.

Answer 1

John caught 18 fishes and Peter caught 30 fishes.

Step-by-step explanation:

Let,

Fishes caught by John = x

Fishes caught by peter  = y

Total fishes caught = 48

According to given statement;

x+y=48    Eqn 1

x=$\frac{3}{5}y$   Eqn 2

Putting  Eqn 2 in Eqn 1;

$\frac{3}{5}y+y=48$

Multiplying each term by 5;

$5*\frac{3}{5}y+5*y=48*5\\3y+5y=240\\8y=240$

Dividing both sides by 8

$\frac{8y}{8}=\frac{240}{8}\\y=30$

Putting y=30 in Eqn 1

$x+30=48\\x=48-30\\x=18$

John caught 18 fishes and Peter caught 30 fishes.

Keywords: linear equation, substitution method

Learn more about substitution method at:

• brainly.com/question/11007026
• brainly.com/question/11207748

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