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?

Respuesta :

Price of one ream of paper is $6.5

Step-by-step explanation:

Let,

x be the total cost.

Cost of one ream of paper = y

Cost of binder = $4.50

Cost of ink cartridge = $17.50

According to given statement;

x = 4.50 + 6y    Eqn 1

x = 17.50 + 4y   Eqn 2

As both spent the same amount, therefore,

Eqn 1 = Eqn 2

[tex]4.50+6y=17.50+4y\\6y-4y=17.50-4.50\\2y=13\\[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{13}{2}\\y=6.5[/tex]

Price of one ream of paper is $6.5

Keywords: linear equation, division

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