Problema Solution
Three pounds of cashews & four pounds of peanuts costs $30.25 , while four pounds of cashews and two pounds of peanuts costs $32.00. Find the cost per pound of cashews
A) 2.75/lb
b) 6.50/lb
c) 2.50/lb
d) 6.75/lb
Answer provided by our tutors
let
x = the cost of pound of cashews
y = the cost of pound of peanuts
three pounds of cashews & four pounds of peanuts costs $30.25:
3x + 4y = 30.25
four pounds of cashews and two pounds of peanuts costs $32.00:
4x + 2y = 32.00
by solving the system of equations:
3x + 4y = 30.25
4x + 2y = 32.00
we find:
x = $6.75
y = $2.50
click here to see the step by step solution of the system of equations:
the answer is: d) 6.75/lb