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

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

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.

f

step-by-step explanation:

f

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36