Question

A company manufactures two types of cabinets, type 1 and type 2. It produces 110 total cabinets each week. Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20. If x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced, the system of equations that represents this situation is x + y = 110 and y = 2x + 20. The number of type 2 cabinets produced last week is ? . This number exceeds the number of type 1 cabinets produced during the week by ?

Answer 1

X + y = 110
y = 2x + 20

x + 2x + 20 = 110
3x + 20 = 110
3x = 110 - 20
3x = 90
x = 90/3
x = 30

x + y = 110
30 + y = 110
y = 110 - 30
y = 80

Number of type 2 cabinets produces last week was 80
This number exceeds the number of type 1 cabinets produced during the week by 50.

Answer 2

Answer: The number of type 2 cameras produce last week is 80. This number exceeds the number of type wine cabinets produced during the week by 30.

Step-by-step explanation: