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Pat was in a fishing competition at lake Pisces. She caught some bass and some trout. Each bass weighed 3 pounds. Each trout weighed 1 pound. Pat caught a total of 30 pounds. She got 5 points in the competition for each bass, but since trout are endangered in lake Pisces, she lost 1 point for each trout. Pat scored at total of 42 points. How many bass and trout did pat catch during the competition?

Respuesta :

calculista

Answer:

[tex]9\ bass[/tex]  and  [tex]3\ trout[/tex]

Step-by-step explanation:

Let

x-----> the number of bass

y----> the number of trout

we know that

[tex]3x+y=30[/tex] ----> equation A

[tex]5x-y=42[/tex] ----> equation B

Adds equation A and equation B

[tex]3x+y=30\\5x-y=42\\--------\\3x+5x=30+42\\8x=72\\x=9\ bass[/tex]

Find the value of y

[tex]3(9)+y=30[/tex]

[tex]y=30-27=3\ trout[/tex]

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