Answer:
Cost of one pound of walnuts = x = $1.5
Cost of one pound of Chocolate chip = y =$3.75
Step-by-step explanation:
Let:
Cost of one pound of walnuts = x
Cost of one pound of Chocolate chip = y
Now making equations from the statements.
For 3 pounds of walnuts and 2 pounds chocolate Chips,the cost is $12: [tex]3x+2y=12[/tex]
For 5 pounds of walnuts and 6 pounds of chocolate chips the total cost is $30: [tex]5x+6y=30[/tex]
We need to solve these equations to find values of x and y
Let:
[tex]3x+2y=12--eq(1)\\5x+6y=30--eq(2)[/tex]
Multiply eq(1) by 3 and subtract both equations
[tex]9x+6y=36\\5x+6y=30\\- \ \ \ - \ \ \ \ -\\-------\\4x=6\\x=\frac{6}{4}\\x=1.5[/tex]
Now, finding value of y bu putting value of x, x= 1.5 in eq(1)
[tex]3x+2y=12\\3(1.5)+2y=12\\4.5+2y=12\\2y=12-4.5\\2y=7.5\\y=\frac{7.5}{2}\\y=3.75[/tex]
So, we get value of y: y=3.75
Cost of one pound of walnuts = x = $1.5
Cost of one pound of Chocolate chip = y =$3.75
