SOLUTION: twenty four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146.find each part.

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Question 763053: twenty four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146.find each part.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: A+%2B+B+=+24
Equation 2: 7A+%2B+5B+=+146
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Solve equation 1 for one of the variables.
Equation 1: A+%2B+B+=+24
Subtract B from both sides.
A+=+24+-+B
Now plug (24 - B) into equation 2 for A.
Equation 2: 7A+%2B+5B+=+146
7%2A%2824+-+B%29+%2B+5B+=+146
Multiply the 7 through.
168+-+7B+%2B+5B+=+146
Combine like terms.
168+-+2B+=+146
Subtract 168 from both sides.
-2B+=+-22
Divide both sides by -2.
highlight%28B+=+11%29
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Now plug 11 into equation 1 for B
A+=+24+-+B
A+=+24+-+11
highlight_green%28A+=+13%29