Question 362416: JOHN SYAYS TO BRENDA, "IF YOU GIVE ME SEVEN DOLLARS, WE WILL HAVE AN EQUAL AMOUNT OF MONEY." BRENDA RESPONDS, "THIS MAY BE TRUE, BUT IF YOU I GIVE ME SEVEN DOLLARS, I WILL BE ONE DOLLAR SHY OF HAVING TWICE AS MUCH MONEY AS YOU." HOW MUCH MONEY DO JOHN AND BRENDA EACH HAVE?
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! AMOUNT OF MONEY." BRENDA RESPONDS, "THIS MAY BE TRUE, BUT IF YOU I GIVE ME SEVEN DOLLARS, I WILL BE ONE DOLLAR SHY OF HAVING TWICE AS MUCH MONEY AS YOU." HOW MUCH MONEY DO JOHN AND BRENDA EACH HAVE?
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brenda = x
John = y
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y+7=x-7
x-y=14..............1
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x+7=2y-1
x-2y=-7-1
x-2y=-8............2
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multiply equation 1 by -2
-2x+2y=-28
add this to 2
-x=-36
/-1
x=36 Brenda
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x-y=14
so y= 22 John
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