Question

another story problem

Answer 1

you have a trail mix of $8
a premium cashew mix of $15

you need a 105 pound mix that's $10 a pound. (total price is 105 x $10 = $1050)

that means you need x pounds of $15 cashews,
and (105 - x) pounds of $8 trail mix.

8. (105 - x) + 15x = 10 . 105 (distribute on both sides)
840 - 8x + 15x = 1050
7x = 1050 - 840
7x = 210
x = 30

Answer 2

Let c is number pound of 8 -dollar cashew
so: 105 - c is number pound of 15-dollar type
8c + 15 ( 105 - c ) = 10 * 105
-> 7c = 1575 - 1050
=> c = 525/ 7 = 75 lbs