Question #93dbf

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Answer 1 · 2017-05-25T14:21:06

Cost of folder = x= $0.305
Cost of notepad = y = $2.34

Let us call the cost of each folder $x and cost of each notepad $y.
This allows us to form two equations which we can solve and get the answer.

Equation 1:
$8 x + 4 y = 11.80$ $8x + 4y = 11.80$ (Cost of 8 folders = $8 x$ $8x$ and cost of 4 notepads = $4 y$ $4y$ )

Equation 2:
$12 x + 5 y = 15.41$ $12x + 5y = 15.41$ (Cost of 12 folders = $12 x$ $12x$ and cost of 5 notepads = $5 y$ $5y$ )

Multiplying Eq.1 by $3$ $3$ and Eq.2 by $2$ $2$
$24 x + 12 y = 35.40$ $24x + 12y = 35.40$
$24 x + 10 y = 30.82$ $24x + 10y = 30.82$

Subtracting the equations give :
$2 y = 4.68$ $2y = 4.68"$

$y = 2.34$ $y=2.34$

Substituting the value in Eq1.,
$8 x + 9.36 = 11.80$ $8x + 9.36 = 11.80$

$x = 0.305$ $x=0.305$

Answer:
Cost of folder = x= $0.305
Cost of notepad = y = $2.34