JaneAng97
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Sanjeet paid $32.85 for a file and 3 identical pens.Leon paid $83.50 for 2 such files and 8 such pens.Find the cost of 1 pen.
How do you do it?Help pls.

Respuesta :

1 file + 3 pens = $32.85     --------------- (1)
2 files + 8 pens = $83.50   ----------------(2)

(1) x 2 :
2 files + 6 pens = $65.70   ----------------(1a)

(2) - (1a) :
2 pens = $17.80
1 pen = $8.90

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Answer: One pen costs $8.90.
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The price of one pen is $8.9 .

What is an Equation ?

An equation is a representation of algebraic expression equated with a constant or an another algebraic expression.

It is given that

Sanjeet paid $32.85 for a file and 3 identical pens

Let the price of the file is $x and the price of a pen is $y

Leon paid $83.50 for 2 such files and 8 such pens.

The equation that can be made from both the sentences is

x +3y = 32.85

2x + 8y = 83.50

On solving these equations

2y = 17.8

y = $8.9

Therefore price of one pen is $8.9 .

To know more about Equation

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