Question

mike, paul, and charlie went fishing. Everyone caught salmon and pike. Mike caught 1 pike and 4 salmon; Charlie caught 5 pike and 2 salmon. Paul caught half the number of pike that both Charlie and Mike caught combined, and 1 less salmon than Charlie caught. How many of each kind of fish did Paul catch? what was the total number of fish the three boys caught?

Answer 1

Paul caught 3 pike and 1 salmon

The total number of fish the three boys caught is 16

Solution:

According to question,

Mike caught 1 pike and 4 salmon

Charlie caught 5 pike and 2 salmon

Paul caught half the number of pike that both Charlie and Mike caught combined, and 1 less salmon than Charlie caught

Pike caught by Paul = half of number of pike that both charlie and mike caught combined = $\frac{1}{2} (5 + 1) = 3$

Salmon caught by Paul = 1 less salmon than Charlie caught = 2 - 1 = 1

Thus, Paul caught 3 pike and 1 salmon

Total of numbers Pike caught by three boys are  

5 + 1 + 3 = 9 pikes

Total of numbers salmon caught by three boys are  

4 + 2 + 1 = 7 salmons

Hence , the total number of fish caught are

9 + 7 = 16 fishes