Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?

Question

3 years ago

13

What is the cost of one eraser?

1 answer:

grigory [225] · Answer 1 · 2022-03-21T12:20:31+03:00

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Step-by-step explanation:

let cost of pencil = x

and cost of eraser = y

So, we have equations:

$4x+3y=0.37\\3x+4y=0.33$

Solving both equations to find value of x and y

Let:

$4x+3y=0.37\,\,\,eq(1)\\3x+4y=0.33\,\,\,eq(2)$

Multiply eq(1) with 4 and eq(2) with 3 and subtract

$16x+12y=1.48\\9x+12y=0.99\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\7x=0.49\\x=0.07$

Putting value of x in equation 1:

$4x+3y=0.37\\4(0.07)+3y=0.37\\0.28+3y=0.37\\3y=0.37-0.28\\3y=0.09\\y=0.03$

So, x= 0.07 and y = 0.03

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Keywords: System of equations

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