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.