A shop sells pens and files only in packs. A pack of 9 pens cost $36. A pack of 7 files cost $35. 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 35. 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 need to find the least common multiple (LCM) of the number of pens and files in a pack, which is 9 and 7 respectively. The LCM of 9 and 7 is 63.
This means the student needs to buy 7 packs of pens and 9 packs of files to have an equal number of pens and files.
The cost of 7 packs of pens is 7 * 252. The cost of 9 packs of files is 9 * 315.
Therefore, the least amount that the student must pay to have an equal number of pens and files is 315 = $567.
Similar Questions
The cost of 1 folder, 2 notebooks and 5 pens is ₹45. The cost of 2 folders and 3 pens exceeds that of 4 notebooks by ₹17. Which of the following is sufficient to determine the cost of a pen?
A shop man bought pens at the rate of 7 for 10 and sold them at a profit of 40%. How many pens would a customer get for 10 ?Options3465
Cost of 2 pens, 5 pencils and 7 erasers is 37 rupees.Cost of 7 pens, 1 eraser and 2 pencils is 49 rupees.What is the cost of 9 pencils and 47 pens?*
If 6 pens and 7 pencils together cost Rs.90, while 5 pens and 6 pencils cost Rs.76, what will be the cost of each pen?
1 book and 1 pen cost $36. 2 such books and 3 such pens cost $80. What is the cost of 1 pen?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.