Respuesta :

Answer:

1 new and 5 used

Step-by-step explanation:

If we subtract multiples of 250 from 625 and divide by 75, we can determine the number of phones.  

We know that 250(2) = 500; if we subtract this from 625, this leaves

625-500 = 125 for the old phones.  Dividing this by 75, we see that it is not a whole number; this means there cannot have been two of the new $250 phones sold.

625-250 = 375.  Dividing this by 75, we get 5; this means 1 new phone and 5 old were sold.

The no. of new phone sold is 1 and the no. of old phone sold is 5.

Given,

A new phone sells for [tex]\$ 250[/tex] and a used one sells for [tex]\$75[/tex].

Let [tex]x[/tex] new phone is sold and [tex]y[/tex] old phone is sold for the day.

Here the total profit for the day is [tex]\$625[/tex].

So,

[tex]250x+75y=625[/tex]

Or,

[tex]10x+3y=25........(1)[/tex]

Now the value of [tex]x[/tex] and [tex]y[/tex] satisfy the above equation, if we take [tex]x=2[/tex] and more than [tex]2[/tex], it is clear that it not satisfy the above equation. So we made a conclusion here [tex]x[/tex] must be equal to 1 here.

So, at [tex]x=1[/tex],

[tex]10+3y=25[/tex]

[tex]3y=25-10[/tex]

Or,

[tex]y=5[/tex]

Hence The no. of new phone sold is 1 and the no. of old phone sold is 5.

For more details follow the link:

https://brainly.com/question/14352292