SOLUTION: A computer store sold 300 items last month. The store sold 6 times as many hard drives as they did CD-ROM drives, and half as many floppy drivs as hard drives. Based on this infor

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A computer store sold 300 items last month. The store sold 6 times as many hard drives as they did CD-ROM drives, and half as many floppy drivs as hard drives. Based on this infor      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 182307: A computer store sold 300 items last month. The store sold 6 times as many hard drives as they did CD-ROM drives, and half as many floppy drivs as hard drives. Based on this informatin, how many of each item was sold?
Found 2 solutions by josmiceli, J2R2R:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let h= number of hard drives sold
Let c= number of CD-ROMs sold
Let f= number of floppy drives sold
given:
(1) h+%2B+c+%2B+f+=+300
(2) h+=+6c
(3) f+=+%281%2F2%29%2Ah
--------------------
(1) h+%2B+c+%2B+f+=+300
(2) h+=+6c
c+=+h%2F6
Substitute in (1):
(1) h+%2B+c+%2B+f+=+300
h+%2B+h%2F6+%2B+h%2F2+=+300
6h+%2B+h+%2B+3h+=+1800
10h+=+1800
h+=+180
and
c+=+h%2F6
c+=+180%2F6
c+=+30
also
(3) f+=+%281%2F2%29%2Ah
f+=+180%2F2
f+=+90
180 hard drives, 30 CD-ROM drives, and 90 floppy drives were sold

Answer by J2R2R(94) About Me  (Show Source):
You can put this solution on YOUR website!
A computer store sold 300 items last month.
The store sold 6 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 was sold?
Number of Hard Drives = A
Number of CD Rom drives = B
Number of Floppy Drives = C
A + B + C = 300
The store sold 6 times as many hard drives as they did CD-ROM drives:
A = 6B
The store sold half as many floppy drives as hard drives:
C = A/2 (= 3B from above)
Writing A + B + C = 180 in terms of B for A and C:
6B + B + 3B = 300
10B = 300
B = 30 CD Rom drives
A = 180 Hard Drives
C = 90 Floppy Drives