Question 767915: A tells B "If you give me Rs. 400, then I shall have 25% more than what you have". B tells A," If you give me Rs. 200, then I shall have three and a half times as much as you have." How much does B have?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A tells B "If you give me Rs. 400, then I shall have 25% more than what you have". B tells A," If you give me Rs. 200, then I shall have three and a half times as much as you have." How much does B have?
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Equation:
a + 400 = 0.75(b-400)
b+200 = (7/2)a
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Rearrange 1st equation::
a + 400 = 0.75b-300
a - 0.75b = -700
a = 0.75b-700
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Rearrange 2nd equation:
3.5a - b = 200
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Substitute and solve for "b":
3.5(0.75b-700) -b = 200
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3.5*0.75b - 2450 -b = 200
1.625b = 2650
b = $1630.77
Solve for "a":
a = $523.08
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Cheers,
Stan H.
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