Solving systems of inequalities word problem | Mathematics I | High School Math | Khan Academy

TL;DR

Fleur has enough wooden boards but not enough nails to make three tables and nine chairs.

Transcript

• [Voiceover] "Fleur wants to make tables and chairs. "Each chair or table is made with the same number "of wooden boards and nails. "She has a total of 150 wooden boards and 330 nails. "The following inequality represents the number "of tables, T, and chairs, C, "she can make with 150 wooden boards." So we can see the 150 wooden boards right over ... Read More

Key Insights

• 🏂 Fleur requires 17 wooden boards for each table and six wooden boards for each chair.
• 🚰 The total number of wooden boards needed for tables is 17 times the number of tables (T).
• 💅 Fleur needs 34 nails per table and 27 nails per chair.
• 🚰 The total number of nails needed for tables is 34 times the number of tables (T).
• 💅 Fleur has enough boards (51) but not enough nails (345) to make three tables and nine chairs.
• 💅 Making three tables and nine chairs would require a total of 51 wooden boards and 345 nails.
• 💅 Fleur can make the tables and chairs if she buys additional nails or reduces the quantity of furniture.

Questions & Answers

Q: How many wooden boards are needed for each table and chair?

Fleur uses 17 wooden boards for each table and six wooden boards for each chair.

Q: How many nails are needed for each table and chair?

Fleur needs 34 nails per table and 27 nails per chair.

Q: Does Fleur have enough boards and nails to make three tables and nine chairs?

Yes, she has enough boards (51 in total), but she doesn't have enough nails (345 needed, only 330 available).

Q: What could Fleur do if she wants to make all the tables and chairs?

Fleur either needs to buy more nails or reduce the number of tables and chairs she intends to make.

Summary & Key Takeaways

• Fleur wants to make tables and chairs using a certain number of wooden boards and nails.

• She has 150 wooden boards and 330 nails.

• Fleur can make three tables and nine chairs with the available wooden boards but doesn't have enough nails.