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A piece of lumber which is 55 inches long is cut into two parts such that 2 times the larger part will be 12 more than 5 times the smaller part. How long are each piece?

User Apollon
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2 Answers

3 votes

Answer:

Explanation:

If 98x=7

x=14

the smaller part is 14 so the larger part would be 41

User Skeetastax
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Let x=the smaller part
Then 55-x=the larger part
Now we are told the following:
2(55-x)=5x+12 simplify
110-2x=5x+12 add 2x to and subtract 12 from each side
110-2x+2x-12=5x+2x+12-12 collect like terms
98=7x
User Pieter Van Loon
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