SOLUTION: Matthew and Matilda want to buy a set of DVD's from their favorite television show. Matthew has $47 less than the purchase price, and Matilda has $2 less than the purchase price. I

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Matthew and Matilda want to buy a set of DVD's from their favorite television show. Matthew has $47 less than the purchase price, and Matilda has $2 less than the purchase price. I      Log On


   

Question 69516: Matthew and Matilda want to buy a set of DVD's from their favorite television show. Matthew has $47 less than the purchase price, and Matilda has $2 less than the purchase price. If they pool their money, they still do not have enough money to buy the DVD's. Assuming that the set costs an integral number of dollars, what is its price?
Found 2 solutions by checkley75, stanbon:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
x>47+2
x>49 thus the price must be greater than $49.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Matthew and Matilda want to buy a set of DVD's from their favorite television show. Matthew has $47 less than the purchase price, and Matilda has $2 less than the purchase price. If they pool their money, they still do not have enough money to buy the DVD's. Assuming that the set costs an integral number of dollars, what is its price?
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Let x dollars be the price of the DVD's.
Matthew has x-47 dollars
Matilda has x-2 dollars
Together they have 2x-49 dollars
INEQUALITY:
Even pooling their money they do not have x dollars
2x-49 x-49<0
x<49
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The price is a whole number less than 49
If Matthew has any money x-47>0
Then x>47
So if 47 --------------------
Cheers,
Stan H.