Respuesta :
Answer:
80 pounds of nut sold and 40 pounds of raisins sold.
Step-by-step explanation:
Let x be the number of pounds of nut sold and y be the number of pounds of raisins sold.
Combine weight of trail mix is 120 pounds.
[tex]x+y=120[/tex] .... (1)
Nuts selling for $6 per pound and pounds of raisins selling for $3 per pound. The cost of trail mix is $5 per pound.
[tex]6x+3y=5\times 120[/tex]
[tex]6x+3y=600[/tex]
Divide both sides by 3.
[tex]2x+y=200[/tex] ..... (2)
Subtract equation (1) from equation (2).
[tex]2x+y-(x+y)=200-120[/tex]
[tex]2x+y-x-y=80[/tex]
[tex]x=80[/tex]
The value of x is 80.
Put this value in equation (1).
[tex]80+y=120[/tex]
Subtract 80 from both sides.
[tex]80+y-80=120-80[/tex]
[tex]y=40[/tex]
The value of y is 40.
Therefore, 80 pounds of nut sold and 40 pounds of raisins sold.
