A company sells recordable cds (r) for $0.80 each and play only cds (p) for $0.60 each. $76.00 is recieved for an order of 100 cds, but the costumer did not spe

Question

A company sells recordable cds (r) for $0.80 each and play only cds (p) for $0.60 each. $76.00 is received for an order of 100 cds, but the costumer did not specify how much for each type. Your job is to set up and solve a system of two equations and resolve the dilemma.

Answer 1

R + P = 100 ---> P = 100 - R

 

80R + 60P = 7600 <--- amounts in pennies

 

80R + 60(100-R) = 7600

 

80R + 6000 - 60R = 7600

 

20R + 6000 = 7600

 

20R = 7600 - 6000

 

20R = 1600

 

R = 80 ---> P=20

 

CHECK:

  80 (80) + 20(60) =

  6400 + 1200 = 7600

 

80 recordables and 20 play only

 

Recordable CDs are also called Read/Write. Data

can be written to as well as read from the disk.

There are 80 of them.

 

Play only are also called Read only. Once burned,

that's it!!! 20 of them.