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.
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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.
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