Question

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?

Answer 1

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

Answer 2

Answer:

Common multiple of 2 and 5 is 10

He bought at least 5 pack of pens and 2 pcks of files

The least amount that must pay is 8x5 + 25X2 = 90