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Answer :
To determine if Fleur has enough boards and nails to make 3 tables and 9 chairs, we need to check the requirements for both boards and nails:
1. Calculate the total number of wooden boards needed:
- Each table requires 17 boards, so 3 tables will need [tex]\(3 \times 17 = 51\)[/tex] boards.
- Each chair requires 6 boards, so 9 chairs will need [tex]\(9 \times 6 = 54\)[/tex] boards.
- The total number of boards needed is [tex]\(51 + 54 = 105\)[/tex].
2. Calculate the total number of nails needed:
- Each table requires 34 nails, so 3 tables will need [tex]\(3 \times 34 = 102\)[/tex] nails.
- Each chair requires 27 nails, so 9 chairs will need [tex]\(9 \times 27 = 243\)[/tex] nails.
- The total number of nails needed is [tex]\(102 + 243 = 345\)[/tex].
3. Check if the requirements are met:
- Fleur has 150 wooden boards. She needs 105 boards, which is sufficient since [tex]\(105 \leq 150\)[/tex].
- Fleur has 330 nails. She needs 345 nails, which is not sufficient since [tex]\(345 > 330\)[/tex].
So, Fleur has enough wooden boards but does not have enough nails to make 3 tables and 9 chairs.
1. Calculate the total number of wooden boards needed:
- Each table requires 17 boards, so 3 tables will need [tex]\(3 \times 17 = 51\)[/tex] boards.
- Each chair requires 6 boards, so 9 chairs will need [tex]\(9 \times 6 = 54\)[/tex] boards.
- The total number of boards needed is [tex]\(51 + 54 = 105\)[/tex].
2. Calculate the total number of nails needed:
- Each table requires 34 nails, so 3 tables will need [tex]\(3 \times 34 = 102\)[/tex] nails.
- Each chair requires 27 nails, so 9 chairs will need [tex]\(9 \times 27 = 243\)[/tex] nails.
- The total number of nails needed is [tex]\(102 + 243 = 345\)[/tex].
3. Check if the requirements are met:
- Fleur has 150 wooden boards. She needs 105 boards, which is sufficient since [tex]\(105 \leq 150\)[/tex].
- Fleur has 330 nails. She needs 345 nails, which is not sufficient since [tex]\(345 > 330\)[/tex].
So, Fleur has enough wooden boards but does not have enough nails to make 3 tables and 9 chairs.
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