Question

Josie wants to make 10 pounds of trail mix using nuts and raisins, and she wants the total cost of the trail mix to be $54. Nuts cost $6 per pound and raisins cost $3 per pound. Solve the system {n+r=106n+3r=54 to find n , the number of pounds of nuts, and r , the number of pounds of raisins she should use. program

Answer 1

Answer:

The trail mix Josie wants to make should have 8 pounds of nuts and 2 pounds of raisins.

Step-by-step explanation:

Let's help Josie to solve for n and r, this way:

Our equations system is:

n + r = 10

6n+ 3r = 54

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n = 10 - r

Now, let's substitute n in the second equation and solve for r:

6 (10 - r) + 3r = 54

60 - 6r + 3r = 54

-3r = 54 - 60

-3r  = -6

r = 2

Now, let's solve for n:

n = 10 - r

n = 10 - 2

n = 8

The trail mix Josie wants to make should have 8 pounds of nuts and 2 pounds of raisins.