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=[tex]\frac{3}{5}y[/tex] Eqn 2
Putting Eqn 2 in Eqn 1;
[tex]\frac{3}{5}y+y=48[/tex]
Multiplying each term by 5;
[tex]5*\frac{3}{5}y+5*y=48*5\\3y+5y=240\\8y=240[/tex]
Dividing both sides by 8
[tex]\frac{8y}{8}=\frac{240}{8}\\y=30[/tex]
Putting y=30 in Eqn 1
[tex]x+30=48\\x=48-30\\x=18[/tex]
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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