We appreciate your visit to Fleur wants to make tables and chairs She has a total of 150 wooden boards and 330 nails The inequality tex 17T 6C leq 150. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's find out whether Fleur has enough wooden boards and nails to make 3 tables and 9 chairs by checking the constraints.
1. Calculate the number of boards needed:
- For each table, she needs 17 boards.
- For each chair, she needs 6 boards.
- If Fleur makes 3 tables and 9 chairs, the total number of boards needed is:
[tex]\[
17 \times 3 + 6 \times 9 = 51 + 54 = 105 \text{ boards}
\][/tex]
2. Check if Fleur has enough boards:
- Fleur has a total of 150 boards.
- Since 105 boards are needed and 105 is less than or equal to 150, Fleur has enough boards.
3. Calculate the number of nails needed:
- For each table, she needs 34 nails.
- For each chair, she needs 27 nails.
- If Fleur makes 3 tables and 9 chairs, the total number of nails needed is:
[tex]\[
34 \times 3 + 27 \times 9 = 102 + 243 = 345 \text{ nails}
\][/tex]
4. Check if Fleur has enough nails:
- Fleur has a total of 330 nails.
- Since 345 nails are needed and 345 is greater than 330, Fleur does not have enough nails.
5. Conclusion:
- Fleur has enough boards, but not enough nails.
Based on this analysis, the correct answer is:
(B) Fleur has enough boards but not enough nails.
1. Calculate the number of boards needed:
- For each table, she needs 17 boards.
- For each chair, she needs 6 boards.
- If Fleur makes 3 tables and 9 chairs, the total number of boards needed is:
[tex]\[
17 \times 3 + 6 \times 9 = 51 + 54 = 105 \text{ boards}
\][/tex]
2. Check if Fleur has enough boards:
- Fleur has a total of 150 boards.
- Since 105 boards are needed and 105 is less than or equal to 150, Fleur has enough boards.
3. Calculate the number of nails needed:
- For each table, she needs 34 nails.
- For each chair, she needs 27 nails.
- If Fleur makes 3 tables and 9 chairs, the total number of nails needed is:
[tex]\[
34 \times 3 + 27 \times 9 = 102 + 243 = 345 \text{ nails}
\][/tex]
4. Check if Fleur has enough nails:
- Fleur has a total of 330 nails.
- Since 345 nails are needed and 345 is greater than 330, Fleur does not have enough nails.
5. Conclusion:
- Fleur has enough boards, but not enough nails.
Based on this analysis, the correct answer is:
(B) Fleur has enough boards but not enough nails.
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