Question

a trail mix is made by adding pecans that sell for $2.50 per pound to chocolate candies that sell for $1 per pound. How much of each should be used to get 60 pounds of trail mix that sells for $1.70 per pound?

Answer 1

Should be used 28 pounds of pecans and 32 pounds of chocolate candies

Explanation:

Let

x -----> pounds of pecans used

y ----> pounds of chocolate candies used

we know that

`x+y=60` -----> equation A

`2.50x+y=1.70(60)` ----->
`2.50x+y=102` -----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

Using a graphing tool

The solution is the point (28,32)

see the attached figure

therefore

Should be used 28 pounds of pecans and 32 pounds of chocolate candies