Respuesta :

Answer:

The selling price of meter of cable must be equal to 3 euros

Step-by-step explanation:

The question in English is

A hardware store buys 4 reels of cable of 200 meters each at 2 euros per meter. How much must the meter sell if you want to earn 800 euros?

we know that

The profit will be equal to the selling price minus the purchase price, all multiplied by the total meters of cable

Let

x -----> the selling price of the meter of cable

y -----> the purchase price of the meter of cable

N ----> the meters of cable

P ----> the profit

so

[tex]P=N(x-y)[/tex]

we have

The total meters of cable N purchased is equal to

[tex]N=4(200)=800\ m[/tex]

[tex]y=2\ euros\meter[/tex]

[tex]P=800\ euros[/tex]

substitute

[tex]800=800(x-2)[/tex]

Solve for x

Simplify

[tex]1=(x-2)[/tex]

[tex]x=2+1=3\ euros[/tex]

therefore

The selling price of meter of cable must be equal to 3 euros