How many of each type of switch were​ made?

Question

An electronics company makes two types of switches. Type A takes 5

minutes to make and requires $4

worth of materials. Type B takes 6

minutes to make and requires $6

of materials. In the latest production batch, it took 40

hours to make these switches, and the materials cost $2220
.
How many of each type of switch were made?

Answer 1

x=# of type A switch

y=# of type B switch

5x+6y=2400 minutes (40*60=2400)

$4x+$6y=$2220

5x+6y=2400

4x+6y=2220

subtract the equations

x=180 of type A

5*180+6y=2400

900+6y=2400

6y=2400-900

6y=1500

y=1500/6

y=250 of type B

check:

$4*180+$6*250=$2220

$720+$1500=$2220

$2220=$2220