help please!!!!

Question

The modern grocery has cashews that sell for $4.25 a pound and peanuts that’s over $2.75 a pound how much of each must Albert the grocery mix to get 60 pounds of mixture that he can sell for three dollars per pound express the problem as a system of linear equations and solve using the method of your choice to find the solution of the problem

Answer 1

Hi:

I am coming up with x = 10 and y = 50

where x = cashews and y = peanuts combined in the mix

The equations you are solving are:

4.25x + 2.75y =180 ( 60pounds @ $3/pound)

x + y = 60

Solving by elimination yields:

17x - 11y = 720

17x + 17y = 1020

6y = 300, therefore y = 50

which leads to x = 10 (60 pounds of mix - 50)

I hope that helps!

Answer 2

c + p = 60

4.25c + 2.75p = 3.00(60)

Can you solve and answer?

Answer 3

Let we take x pounds of price $4.25, then (60 - x) of price $2.75. Then we get equation:

4.25x + 2.75(60 - x) = 3·60; 4.25x + 165 - 2.75x = 180; 1.5x = 15, x = 10 and 60 - x = 60 - 10 = 50

Answer: 10 pounds by $4.25 and 50 pounds by $2.75