A shop sells pens and files only in packs. A pack of 9 pens cost $36. A pack of 3 files cost $15. 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 9 pens cost 15. A student wants to buy an equal number of pens and files. What is the least amount that the student must pay?
Solution
To solve this problem, we first need to find the cost of a single pen and a single file.
- The cost of a single pen is 4.
- The cost of a single file is 5.
However, the student wants to buy an equal number of pens and files. Since the pens are sold in packs of 9 and the files are sold in packs of 3, the least common multiple (LCM) of 9 and 3 is 9.
So, the student needs to buy at least 9 pens and 9 files.
- The cost for 9 pens is 9 * 36.
- The cost for 9 files is 9 * 45.
Therefore, the least amount that the student must pay is 45 = $81.
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