Question

A trail mix is made by adding pecans that sell for 2.50 per pound to chocolate candies that sell for 1.00 per pound. How much of each should be used to get 60 pounds of trail mix tat sell for 1.70 per pound?

Answer 1

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

Let

x -----> pounds of pecans used

y ----> pounds of chocolate candies used

we know that

-----> equation A

-----> -----> 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