Question

Pierre wants to make tables and chairs. He has a total of 220 wooden boards and 760 nails. 13T+8C≤220 represents the number of tables T and chairs C he can make with 220 wooden boards. 48T+37 C≤760 represents the number of tables and chairs he can make with 760 nails. Does Pierre have enough boards and nails to make 9 tables and 5 chairs?

Answer 1

a.

Explanation:

Answer 2

Pierre has enough boards and nails to make 9 tables and 5 chairs.

Explanation:

13T+8C ≤ 220

Let us substitute 9 for T and 5 for C and check.

13(9) + 8(5) = 117 + 40

= 157 < 220

So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.

48T+37C ≤ 760

Substitute 9 for T and 5 for C.

48(9)+37(5) = 432 + 185

= 617 < 760

So, 760 nails are sufficient to make 9 tables and 5 chairs.

Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.