Question

Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. macadamia nuts cost $9 per pound and almonds cost $5.25 per pound. how many pounds of macadamia nuts and how many pounds of almonds should macario use for the mixture to cost $6.50 per pound to make? The answer I have is 4 lbs of macadamia and 8 lbs of almond

Answer 1

m + a = 12 ... -9 m - 9 a = -108

9 m + 5.25 a = 12 * 6.50 = 78

solve the system

adding equations to eliminate m ... -3.75 a = -30

solve for a , then substitute back to find m

Answer 2

thanks but im still confused, because I was trynna set it up like this
Let x be the number of pounds of cashews

So, 150 - x will represent the number of almonds

Since each pound of the mixture cost 3 dollars, 150 pounds will cost 3 × 150 = 450 dollars

Cost of cashews + cost of almonds = 450

2 × x + (150 - x) × 5 = 450

2x + 150 × 5 - x × 5 = 450

2x + 750 - 5x = 450

2x - 5x + 750 = 450

-3x + 750 = 450

-3x + 750 - 750 = 450 - 750

-3x = -300

-3x/-3 = -300/-3

x = 100

150 - x = 150 - 100 = 50.

Answer 3

where did the 150 come from? You only have 12 lbs of mix. And where did the cashews come from?
So, if x = macadamias, 12-x = almonds
That gives you an equation involving the cost of the nuts. The sum of the parts makes the value of the whole mix:
9x + 5.25(12-x) = 6.50(12)
x = 4, so 12-x = 8

Answer 4

it was an example. I was using to try to solve it also.
also where did you get the the negative 3.75 and 30
A store owner wants to mix cashews and almonds. Cashews cost 2 dollars per pound and almonds cost 5 dollars per pound. He plans to sell 150 pounds of a mixture. How many pounds of each type of nuts should be mixed if the mixture will cost 3 dollars?

Answer 5

Yo ooBleck, I understand now. I was distributing 5.25 into 12 -x but once I did that I kept forgetting a part of the problem. Math anxiety is really bad for me.

Answer 6

Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario use for the mixture to cost $6.50 per pound to make?