Algebra
# System of Linear Equations

The wives receive a total of $396, of which Mary gets $10 more than Diane, and Ellen gets $10 more than Mary.

Bill Brown gets twice as much as his wife, Henry Hobson gets the same as his wife, and John Jones gets 50 percent more than his wife.

What are the full names of the three wives?

Note: Assume that the wives have the same last names as their husbands.

If \(3m+2n+4s=26\) and \(6n+4m+2s=48\), then what is \(m+n+s\)?

Bob weighs 100 pounds plus \(\frac{1}{2}\) of Sue's weight.

Sue weighs 100 pounds plus \(\frac{1}{3}\) of Bob's weight.

How much is their combined weight (in pounds)?

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