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?

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Mathematics

17 November, 04:14

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?

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Diamond Whitaker · 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.