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A shop sells pens and files only in packs. A pack of 6 pens cost $30. A pack of 7 files cost $21. A student wants to buy an equal number of pens and files. What is the least amount that the student must pay?$

Question

A shop sells pens and files only in packs. A pack of 6 pens cost 30.Apackof7filescost30. A pack of 7 files cost 21. A student wants to buy an equal number of pens and files. What is the least amount that the student must pay?$

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Solution

To solve this problem, we first need to find the cost of a single pen and a single file.

  1. The cost of a single pen is 30/6=30/6 = 5.
  2. The cost of a single file is 21/7=21/7 = 3.

The student wants to buy an equal number of pens and files. The least number of items the student can buy is 1.

So, the least amount the student must pay is the cost of 1 pen and 1 file, which is 5+5 + 3 = $8.

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