# Question #8ef2b

Oct 8, 2016

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 : $\therefore 4 C + 8 T = 52 \left(1\right)$
$23$ ft of Pine requred : $\therefore 3 C + 2 T = 23 \left(2\right)$. Multiplying (2) by 4 we get
$4 C + 8 T = 52 \left(1\right)$
$12 C + 8 T = 92 \left(2\right)$. Subtracting (1) from (2) we get,

$8 C = 40 \therefore C = 5$. Putting $C = 5$ in equation (1) we get $8 T = 52 - 20 \mathmr{and} 8 T = 32 \mathmr{and} T = 4$

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