Step-by-step explanation:
Let x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced.
The total no of cabinets are 100
Equation will be : x+y = 110
We can write it as : y = 110-x ...(1)
Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20.
Equation will be : y = 2x + 20 ...(2)
Put the value of y from equation (1) into equation (2).
110-x = 2x + 20
Combining like terms,
110-20 = 2x+x
90 = 3x
x = 30
Put the value of x in equation (1) :
y = 110-30
y = 80
Hence, there are 30 cabinets of type 1 and 80 cabinets of type 2.
