Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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 [tex]\( x \)[/tex] is the number of type 1 cabinets produced and [tex]\( y \)[/tex] is the number of type 2 cabinets produced, the system of equations that represents this situation is:

[tex]\[ x + y = 110 \][/tex]
[tex]\[ y = 2x + 20 \][/tex]

The number of type 2 cabinets produced last week is [tex]\( \square \)[/tex].

This number exceeds the number of type 1 cabinets produced during the week by [tex]\( \square \)[/tex].

Sagot :

GinnyAnswer
To solve the problem, we need to determine the number of type 1 cabinets ([tex]\(x\)[/tex]) and type 2 cabinets ([tex]\(y\)[/tex]) produced based on the given equations:

1. [tex]\(x + y = 110\)[/tex]
2. [tex]\(y = 2x + 20\)[/tex]

By solving this system of equations, we determine the values of [tex]\(x\)[/tex] and [tex]\(y\)[/tex]. The solutions to these equations are:

- [tex]\( x = 30 \)[/tex] (the number of type 1 cabinets produced)
- [tex]\( y = 80 \)[/tex] (the number of type 2 cabinets produced)

The first part of our answer is the number of type 2 cabinets produced, which is [tex]\(80\)[/tex].

Next, we need to find by how much the number of type 2 cabinets produced exceeds the number of type 1 cabinets produced. We do this by subtracting the number of type 1 cabinets from the number of type 2 cabinets:

[tex]\[ y - x = 80 - 30 = 50 \][/tex]

Therefore, the number of type 2 cabinets produced exceeds the number of type 1 cabinets by [tex]\(50\)[/tex].

Thus, the complete answers are:
- The number of type 2 cabinets produced last week is [tex]\(80\)[/tex].
- This number exceeds the number of type 1 cabinets produced during the week by [tex]\(50\)[/tex].
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.