Question 79685
they decided to buy 100 items for their $100. if hte jackets were $9 each, the jeans $3 a pair, and the books 5 for $1, how many of each did they buy?

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Let # of jackets be "k" ; Value of those jackets is 900k cents
Let # of jeans be "n" ; value of those jeans is 300n cents
Let # of books be "b" ; value of those books is 20n cents
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EQUATIONS:
k + n + b = 100
900k + 300n + 20b = 10000 cents
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k + n + b = 100
45k + 15n +b = 500
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Subtract 1st from 2nd to get:
44k + 13n = 400
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Make a list of the multiples of 44 and another list of the multiples
of 13.  Try to find a sum that equals 400.  That should tell you 
what k and n are.  Using that information you can find b.
It can be done because k and n must be Natural or Counting numbers.
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Cheers,
Stan H.