It takes 3 min to form a bowl and 2 min to form a plate. A bowl costs 0.25; a plate costs 0.20. If it runs for 8 hours and $44 is spent in materials, how many bowls and plates can be produced?
3 mins to make a bowl, bowl costs 0.25
2 mins to make a plate, plate costs 0.20
Let B be the number of bowls produced.
“ P “ “ “ “ plates “
Costs:
B * 0.25 + P * 0.2 = 44.00
Times:
B * 3 + P * 2 = 8 hrs = 480 mins
Multiplying the 1st eqn by 10, gives
2.5B + 2P = 440
3B + 2P = 480
Subtracting the eqns,
0.5B = 40
B = 80
2P = 480 – 3*80 = 480 – 240 = 240
P = 120
Production is: 80 bowls and 120 plates