MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

Answer: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 = $ mThe money spent by Fred:The money spent on a binder = $4.50The money spent on 6 ream of papers = 6 x ( cost of 1 ream ) = 6 x ($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 = $17.50The money spent on 4 ream of papers = 4 x ( cost of 1 ream ) = 4 x ($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, 50or, 2 m = 13or, m = 13/ 2 = 6.5So, the value of m = $6.5Hence, the the price of one ream of paper is $6.5.