Respuesta :
Given:
There are given that candy that sells for $4.25 per lb that mixed with candy that sells for $2.75 per lb.
Explanation:
Let pounds of candy be x = 4.25 and mixed candy be y = 2.75.
Then,
We need to set the equations:
So,
[tex]\begin{gathered} x+y=10...(1) \\ 4.25x+2.75y=3.95\times10 \\ 4.25x+2.75y=39.5\text{ ....\lparen2\rparen} \end{gathered}[/tex]Now,
Multiply 2.75 with the equation (1) and subtract equation (1) from equation (2):
So,
[tex]\begin{gathered} (x+y=10)\times2.75 \\ 2.75x+2.75y=27.5 \end{gathered}[/tex]Then,
Subtract equation (1) from the equation (2):
So,
[tex]\begin{gathered} (4.25-2.75)x=39.5-27.5 \\ 1.5x=12 \\ x=\frac{12}{1.5} \\ x=8 \end{gathered}[/tex]Final answer:
Hence, the answer is 8 lb.
