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A shop sells pens and files only in packs. A pack of 3 pens cost $15. 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 3 pens cost 15.Apackof7filescost15. 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 need to find the least common multiple (LCM) of the number of items in each pack (3 pens and 7 files). The LCM of 3 and 7 is 21. This means the student needs to buy 7 packs of pens and 3 packs of files to have an equal number of each.

The cost for the pens is 7 packs * 15/pack=15/pack = 105. The cost for the files is 3 packs * 21/pack=21/pack = 63.

So, the least amount the student must pay is 105+105 + 63 = $168.

This problem has been solved

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