Question

Please help me with this question:
Fleur wants to make tables and chairs. She has a total of 150 wooden boards and 330 nails.
17T + 6C ≤ 150 represents the number of tables (T) and chairs (C) she can make with 150 wooden boards.
34T + 27C ≤ 330 represents the number of tables and chairs she can make with 330 nails.
Does Fleur have enough boards and nails to make 3 tables and 9 chairs?

Choose 1 answer:
(Choice A) Fleur has enough boards and nails.

(Choice B) Fleur has enough boards but not enough nails.

(Choice C) Fleur has enough nails but not enough boards.

(Choice D) Fleur has neither enough boards nor enough nails.

Answer 1

Answer:

(choice B) Fleur has enough boards but not enough mails

Step-by-step explanation:

Answer 2

Choice B is correct. Fleur has enough boards, but not enough nails. The equality 2 shows the less number of nails.

What is linear inequality?

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

Total wooden boards =150

Total nails =330

Condition 1;

Equation 1;

17T + 6C ≤ 150

Tables (T)=3

Chairs (C)= 9

$\rm 17T + 6C \leq 150\\\\\ 17 \times 3 +6 \times 9 \leq 150 \\\\\ 105 \leq150$

Equality in the condition 1 is satisfied. So that the Fleur has the enough number of the wooden boards.

Condition 2;

Tables (T)=3

Chairs (C)= 9

Equality 2;

$\rm 34T + 27C \geq 330 \\\\ 34 \times (3) + 27 \times (9) < 330 \\\\ 102+243 < 330 \\\\ 345 < 330$

From the above expression, it is observed that the no of the nails are not enough.

Fleur has enough boards, but not enough nails. The equality 2 shows the less number of nails.

Hence, choice B is correct.

To learn more about linear inequality, refer to the link;

https://brainly.com/question/11897796

#SPJ2