Bryan and his son, and Elton and his son all went fishing. Bryan caught as many fish as his son and Elton caught three times as many fish as his son. All together, they caught 25 fish. How many fish did Bryan catch?

Question

Mathematics

Madisyn Morrow

31 August, 20:47

Bryan and his son, and Elton and his son all went fishing. Bryan caught as many fish as his son and Elton caught three times as many fish as his son. All together, they caught 25 fish. How many fish did Bryan catch?

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Answers (1)

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Chaya · Answer 1

The answer is explained below

Step-by-step explanation:

This is a word problem, therefore to solve it the statement have to be writing in form of an equation and then solved.

Let the number of fishes caught by Bryan's son be x fishes. Since Bryan caught as many fish as his son, Bryan caught x fishes

Let the number of fishes caught by Elton's son be y fishes. Since Elton caught three times as many fish as his son, Bryan caught 3y fishes

All together, they caught 25 fish

Therefore it can be represented by the equation:

x + x + y + 3y = 25

2x + 4y = 25

2x = 25 - 4y

x = (25 - 4y) / 2

The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton son