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Answer :
To determine if Fleur has enough wooden boards and nails to make 3 tables and 9 chairs, let's break down the resources needed for each:
1. Wooden Boards Requirement:
- Each table requires 17 wooden boards.
- Each chair requires 6 wooden boards.
- For 3 tables and 9 chairs, the total number of wooden boards needed is:
[tex]\[
(3 \times 17) + (9 \times 6) = 51 + 54 = 105
\][/tex]
- Fleur has 150 wooden boards, and she needs 105. Therefore, she has enough wooden boards.
2. Nails Requirement:
- Each table requires 34 nails.
- Each chair requires 27 nails.
- For 3 tables and 9 chairs, the total number of nails needed is:
[tex]\[
(3 \times 34) + (9 \times 27) = 102 + 243 = 345
\][/tex]
- Fleur has 330 nails, and she needs 345. Therefore, she does not have enough nails.
From these calculations, we can conclude that Fleur has enough wooden boards but not enough nails.
Thus, the correct answer is:
(B) Fleur has enough boards but not enough nails.
1. Wooden Boards Requirement:
- Each table requires 17 wooden boards.
- Each chair requires 6 wooden boards.
- For 3 tables and 9 chairs, the total number of wooden boards needed is:
[tex]\[
(3 \times 17) + (9 \times 6) = 51 + 54 = 105
\][/tex]
- Fleur has 150 wooden boards, and she needs 105. Therefore, she has enough wooden boards.
2. Nails Requirement:
- Each table requires 34 nails.
- Each chair requires 27 nails.
- For 3 tables and 9 chairs, the total number of nails needed is:
[tex]\[
(3 \times 34) + (9 \times 27) = 102 + 243 = 345
\][/tex]
- Fleur has 330 nails, and she needs 345. Therefore, she does not have enough nails.
From these calculations, we can conclude that Fleur has enough wooden boards but not enough nails.
Thus, the correct answer is:
(B) Fleur has enough boards but not enough nails.
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