Answered

John and Ariana bought school supplies. John spent $10.60 on 5 notebooks and 4 pens. Ariana spent $8.30 on 4 notebooks and 3 pens. What is the cost of 1 notebook and what is the cost of 1 pen?

Answer :

absor201

Cost of one notebook is $1.40 and one pen is $0.90

Step-by-step explanation:

Let,

Notebook = x

Pen = y

According to given statements;

[tex]Multiplying\ Eqn\ 1\ by\ 4\ and Eqn\ 2\ by\ 5\\4(5x+4y=10.60)\\20x+16y=42.40 \ \ \ Eqn\ 3\\ 5(4x+3y=8.30)\\20x+15y=41.50 \ \ \ Eqn\ 4\\Subtracting\ Eqn\ 4\ from\ Eqn\ 3\\(20x+16y)-(20x+15y)=42.40-41.50\\20x+16y-20x-15y=0.90\\y=0.90\\Putting\ value\ of\ y\ in\ Eqn\ 1\\5x+4(0.90)=10.60\\5x+3.60=10.60\\5x=10.60-3.60\\5x=7\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5}=\frac{7}{5}\\x=1.40[/tex]

Cost of one notebook is $1.40 and one pen is $0.90

Keywords: Addition, Linear equations

Learn more about linear equations at:

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