One week a computer store sold a total of 36 computers and external hard drives. the revenue from these sales was ​$30875 . if computers sold for​ $1180 per unit and hard drives for​ $125 per​ unit, how many of each did the store​ sell?

Respuesta :

To solve this problem you must apply the proccedure shown below:

1. You must make a system of equation by using the information given in the problem above. Then, let's call:

[tex] x [/tex]: The number of computers sold.

[tex] y [/tex]: The number of hard drives sold.

2. Therefore, you have the following system of equations:

[tex] \left \{ {{x+y=36} \atop {1180x+125y=30875}} \right.
[/tex]

2. Solve for [tex] x [/tex] in the first equation and substitute it into the second equation:

[tex] x=36-y\\ 1180(36-y)+125y=30875 [/tex]

3. Solve for [tex] y [/tex]:

[tex] 42480-1180y+125y=30875\\ y=11 [/tex]

4. Substitute the value of [tex] y [/tex] into the first equation to calculate [tex] x [/tex]:

[tex] x+11=36\\ x=25 [/tex]

Therefore, the answer is: The store sold [tex] 25 [/tex] computers and [tex] 11 [/tex] hard drives.

ACCESS MORE