SOLUTION: a piece of fabric 180 inches long is cut into two pieces such that 3 times the larer piece exceeds 4 times the smaler piece by 85 inches.. how large are the pieces? I thought 3x+8

Question 351952: a piece of fabric 180 inches long is cut into two pieces such that 3 times the larer piece exceeds 4 times the smaler piece by 85 inches.. how large are the pieces?
I thought 3x+85+4y = 180
but i have not clue. help me please its for my daughter shes 13 i want to get ths for her.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x = length of larger piece and y = length of smaller piece

Since "a piece of fabric 180 inches long", this means that

Also, because the fabric "cut into two pieces such that 3 times the larer piece exceeds 4 times the smaler piece by 85 inches", this means that

Start with the first equation.

Subtract x from both sides.

Move onto the second equation

Plug in

Distribute.

Combine like terms on the right side.

Add to both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

Go back to the previously isolated equation.

Plug in

Subtract

So the solutions are and which means that the larger piece is 115 inches and the smaller piece is 65 inches long.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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