Fleur wants to make tables and chairs. She has a total of 150 wooden boards and 330 nails. 17 T+6C

Question

Fleur wants to make tables and chairs. She has a total of 150 wooden boards and 330 nails.  17 T+6C <= 150 represents the number of tables  T and chairs  C she can make with 150 wooden boards.  34 T+27 C <= 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: (A) Fleur has enough boards and nails. B) Fleur has enough boards but not enough nails. (C) Fleur has enough nails but not enough boards. (D) Fleur has neither enough boards nor enough nails.

Bytelearn · Accepted Answer

Calculate Boards Needed:  Calculate the number of wooden boards needed for 3 tables and 9 chairs using the equation 17T + 6C <= 150. Substituting T = 3 and C = 9, we get 17(3) + 6(9) = 51 + 54 = 105. Check Board Availability:  Check if 105 boards is less than or equal to 150 boards available. Since 105 <= 150, Fleur has enough boards. Calculate Nails Needed:  Calculate the number of nails needed for 3 tables and 9 chairs using the equation 34T + 27C <= 330. Substituting T = 3 and C = 9, we get 34(3) + 27(9) = 102 + 243 = 345. Check Nail Availability:  Check if 345 nails is less than or equal to 330 nails available. Since 345 > 330, Fleur does not have enough nails.

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