Question

Dan is moving old monitors and printers from an office to a local electronic recycling center. Danhas to move a total number of 60 printers and monitors with a combined weight of 1750 lbs. One monitor weighs 35 pounds, and a printer weighs 25 pounds. Does Dan recycle a greater weight of printers or monitors. Explain using a system of equation. ​

Answer 1

Dan is recycling equal weight of printers and monitors.

Explanation:

Let,

x be the number of printers

y be the number of monitors

According to given statement;

x+y=60 Eqn 1

25x+35y=1750 Eqn 2

Multiplying Eqn 1 by 25

25(x+y=60)

25x+25y=1500 Eqn 3

Subtracting Eqn 3 from Eqn 2

(25x+35y)-(25x+25y)=1750-1500

25x+35y-25x-25y=250

10y = 250

Dividing both sides by 10

`(10y)/(10)=(250)/(10)\\y=25`

Putting y=25 in Eqn 1

x+25=60

x=60-25

x=35

Weight of printers = 35*25 = 875 lb

Weight of monitors = 25*35 = 875 lb

Therefore,

Dan is recycling equal weight of printers and monitors.