Question #93dbf

1 Answer
May 25, 2017

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

Explanation:

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

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

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

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

#y=2.34#

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

#x=0.305#

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