Question

A 31-foot board is cut into two pieces so that three times the length of the longer piece is 4 times the length of the shorter piece. What is the length of the longer piece?

Answer 1

Answer:

675

Step-by-step explanation:

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Answer 2

The length of the longer piece is 124/7.

What is algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

let the two pieces be x(longer) and y (shorter)

So,

x+y=31

and, 3x=4y

3x-4y=0

Solving both the equations:

x= 124/7 and y=93/7

Hence, the length of longer piece is 124/7.

Learn more about algebra here:

https://brainly.com/question/953809

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