Question #8ef2b

1 Answer
Oct 8, 2016

Answer:

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]