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25-foot long board is to be cut into two parts. The longer part is one foot more than twice the shorter part. How long is each part?

User Mouke
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1 Answer

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To solve this problem you must apply the following proccedure:

1. You have that 25-foot long board is to be cut into two parts. Then, the first equation is:

a+b=25

2. The longer part is one foot more than twice the shorter part:

a=1+2b

3. The system of equation is:

a+b=25
a=1+2b

4. When you solve it, you obtain:

a=25-b

25-b=1+2b
25-1=2b+b
24/3=b
b=8 ft

a=1+2(8)
a=17 ft
User Bensw
by
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