Question 364008:
John says to Brenda, "If you give me seven dollars, we will have an equal amount of money." Brenda responds, "That may be true, but if you give me seven dollars, I will be one dollar shy of having twice as much money as you." How much money did John and Brenda each have? (Show as much work as possible)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! John says to Brenda, "If you give me seven dollars, we will have an equal amount of money."
Brenda responds, "That may be true, but if you give me seven dollars, I will be one dollar shy of having twice as much money as you."
How much money did John and Brenda each have?
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Equations:
j+7 = b-7
b+7 = 2(j-7)-1
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Rearrange:
j - b = -14
2j -b = 22
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Subtract 1st from 2nd and solve for "j":
j = $36 (amt. of money John has)
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Since j-b = -14, 36-b = -14, b = $50 (amt. of money Brenda has)
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Cheers,
Stan H.
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