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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?

Respuesta :

calculista

Answer:

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

Step-by-step explanation:

Let

x -----> pounds of pecans used

y ----> pounds of chocolate candies used

we know that

[tex]x+y=60[/tex] -----> equation A

[tex]2.50x+y=1.70(60)[/tex] -----> [tex]2.50x+y=102[/tex] -----> 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

Ver imagen calculista

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