A shop sells pens and files only in packs. A pack of 2 pens cost $8. A pack of 5 files cost $25. A student wants to buy an equal number of pens and files. What is the least amount that the student must pay?
Share
A shop sells pens and files only in packs. A pack of 2 pens cost $8. A pack of 5 files cost $25. A student wants to buy an equal number of pens and files. What is the least amount that the student must pay?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Step-by-step explanation:
A pen costs 4 US dollars while a file costs 5 US dollars.The student has to pay 512 dollars to have the same number of pens and files.
Explanation:
If the student wants to buy the same amount of pens and files. The minimum amount will be 9 US dollars (1 pen and 1 file).
Price of a pen
=
32
8
=
$
4
Price of a file
=
35
7
=
$
5
In terms of sets:
The student has to buy 7 sets of pens (total 56 pens) and 8 sets of files (total 56 files).
Now the student has to pay
=
(
$
32
×
7
)
+
(
$
35
×
8
)
=
$
224
+
$
288
=
$
512