Question

Question #8ef2b

Answer 1

Colleen made `5` chairs and `4` tables.

Explanation:

Let `C` be the number of chairs and `T` be the number of tables she build.
`52` ft of Oak requred : `:.4C+8T=52 (1)`
`23` ft of Pine requred : `:.3C+2T=23 (2)`. Multiplying (2) by 4 we get
`4C+8T=52 (1)`
`12C+8T=92 (2)`. Subtracting (1) from (2) we get,

`8C=40 :. C=5`. Putting `C=5` in equation (1) we get `8T=52-20 or 8T=32 or T=4`

Colleen made `5` chairs and `4` tables.[Ans]