Question

A company is upgrading office technology by purchasing inkjet​ printers, LCD​ monitors, and additional memory chips. The total number of pieces of hardware purchased is 45. The cost of each inkjet printer is ​$114​, the cost of each LCD monitor is ​$135​, and the cost of each memory chip is ​$89. The total amount of money spent on new hardware came to ​$4782. They purchased two times as many memory chips as they did LCD monitors. Determine the number of each that was purchased.

Answer 1

inkjet = 9 units

monitor = 12 units

memory chips = 24 units

Step-by-step explanation:

given,

total number of piece = 45

cost of each inkjet(P) = $114

cost of each LCD monitor(M) = ​$135

cost of each memory chip = ​$89

total amount of money spent on new hardware = ​$4782

memory chips = 2 M

P + M + 2M = 45

P + 3 M = 45...........(1)

114 P + 135 M + 89 x (2 M) = $4782

114 P + 313 M = 4782........(2)

on solving equation (1) and (2)

M = 12

P = 9

so,

inkjet = 9 units

monitor = 12 units

memory chips = 24 units