A computer store sold a total of 300 items last month. The store sold six times as many

hard drives as they did CD-ROM drives, and half as many floppy drives as hard drives.
Based on this information, how many of each item were sold?
A. 30 hard drives, 90 floppy drives, and 180 CD-ROM drives
B. 40 hard drives, 20 floppy drives, and 240 CD-ROM drives
C. 180 hard drives, 90 floppy drives, and 30 CD-ROM drives
D. 240 hard drives, 20 floppy drives, and 40 CD-ROM drives

could someone plz help!

H = hard drives

C = CD-ROM
F = floppy drives.
==================
H = 6C
F = (1/2)*6C = 3C
H + C + F = 300
Substitute 6C for H and substitute 3C for F and solve for C, then H, then F.

A and B do not fit the required 6:1 hard drive/CD drive ratio. That leaves C and D

Apply the hard/floppy ratio criterion (1:2) to see which it is.

Let's read the question carefully.

The store sold six times as many
hard drives as they did CD-ROM drives . . .


That narrows your choices to two of the answers.

The next part:

half as many floppy drives as hard drives . . .

Which of the two meets that criterion?

the answer would be(C)

Right.

thanks everyone!

To solve this problem, let's break it down step by step.

Let's start by assigning variables to represent the number of each item sold:
Let H = number of hard drives sold
Let F = number of floppy drives sold
Let C = number of CD-ROM drives sold

According to the information given, we know:
1) The computer store sold a total of 300 items last month. This can be expressed as:
H + F + C = 300 (equation 1)

2) The store sold six times as many hard drives as they did CD-ROM drives. This can be expressed as:
H = 6C (equation 2)

3) The store sold half as many floppy drives as hard drives. This can be expressed as:
F = 0.5H (equation 3)

We now have a system of three equations. Let's solve it to find the values of H, F, and C.

Substituting equation 3 into equation 1, we get:
(6C) + (0.5H) + C = 300
6.5C + 0.5H = 300

We need to find integer values for H, F, and C, so let's start by checking the answer choices provided.

Let's substitute in the values from answer choice A:
H = 30
F = 90
C = 180

Plugging these values into equation 1, we get:
30 + 90 + 180 = 300
Which is correct!

Therefore, answer choice A: 30 hard drives, 90 floppy drives, and 180 CD-ROM drives, is the correct answer.

You can follow the same steps above to check the other answer choices if you want to be thorough.