Fred buys a binder for $4.50 and six reams of paper. Latasha buys an ink cartridge for $17.50 and four reams of paper. Both spend the same amount of money. What is the price of one ream of paper?

The the price of one ream of paper is $6.5.

Step-by-step explanation:

Here, Let us assume the cost of one ream of paper = $ m

The money spent by Fred:

The money spent on a binder = $4.50

The money spent on 6 ream of papers = 6 x (cost of 1 ream)

= 6 x ($m) = 6 m

⇒The total money Fred spent = Money spent on (binder + 6 ream of papers)

= 4.50 + 6 m ... (1)

The money spent by Latasha:

The money spent on a cartridge = $17.50

The money spent on 4 ream of papers = 4 x (cost of 1 ream)

= 4 x ($m) = 4 m

⇒The total money Latasha spent = Money spent on (cartridge + 4 ream of papers)

= 17.50 + 4 m ... (2)

Also, Both spend the same amount of money

⇒4.50 + 6 m = 17.50 + 4 m (from (1) and (2))

or, 6 m - 4 m = 17. 50 - 4, 50

or, 2 m = 13

or, m = 13 / 2 = 6.5

So, the value of m = $6.5

Hence, the the price of one ream of paper is $6.5.