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

Step-by-step explanation:

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.

hope it was helpful

Best Regards

Naisha