A shop sells pens and files only in packs. A pack of 4 pens cost $20. A pack of 3 files cost $9. 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 4 pens cost 9. 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 each pack, which is 4 and 3 respectively. The LCM of 4 and 3 is 12.
This means the student needs to buy 3 packs of pens and 4 packs of files to have an equal number of pens and files.
The cost of 3 packs of pens is 3 * 60. The cost of 4 packs of files is 4 * 36.
Therefore, the least amount that the student must pay is 36 = $96.
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 pen and 12 erasers cost $17.70. A pen and 15 erasers cost $20.40. How much do 6 pens cost?
1 book and 1 pen cost $36. 2 such books and 3 such pens cost $80. What is the cost of 1 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
A man went to market with Ra.100.With that money he can buy 15 pencils or 25 pens.He kept 15% of that money for bus fare and with rest of the money he purchased 5 pencils,and 'x' pens. How many pens he purchased?
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.