Question

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?

Answer 1

Answer:

$9\ bass$  and  $3\ trout$

Step-by-step explanation:

Let

x-----> the number of bass

y----> the number of trout

we know that

$3x+y=30$ ----> equation A

$5x-y=42$ ----> equation B

Adds equation A and equation B

$3x+y=30\\5x-y=42\\--------\\3x+5x=30+42\\8x=72\\x=9\ bass$

Find the value of y

$3(9)+y=30$

$y=30-27=3\ trout$