Question

Last week, the number of type B cabinets produced was 30 more than 1/2 the number of type A cabinets produced. The number of type C cabinets produced was 20 more than 3/2 times the number of type A cabinets produced.

Answer 1

B = 1/2A + 30
C = 3/2A + 20
B = C

1/2A + 30 = 3/2A + 20
30 - 20 = 3/2A - 1/2A
10 = A <=== there were 10 type A cabinets produced

B = 1/2A + 30
B = 1/2(10) + 30
B = 5 + 30
B = 35......there were 35 type B cabinets produced

B = C.....so there was 35 type C cabinets produced

for a total of : (10 + 35 + 35) = 80 cabinets produced <===