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Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought 4 notebooks and 11 thumb drives for $233. Lisa bought 12 notebooks and 15 thumb drives for $357. Find the cost of each notebook and each thumb drive.

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sqdancefan

Answer:

  • notebook: $6
  • thumb drive: $19

Step-by-step explanation:

Let n and t represent the cost of a notebook and thumb drive, respectively. Then the two purchases can be represented by the equations ...

  4n +11t = 233

  12n +15t = 357

Subtracting the second equation from 3 times the first gives ...

  3(4n +11t) -(12n +15t) = 3(233) -(357)

  18t = 342

  t = 342/18 = 19

Putting this into the first equation gives ...

  4n +11(19) = 233

  4n = 24

  n = 6

The cost of each notebook was $6. Each thumb drive cost $19.

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