Question

a pound of raisins cost $2 and a pounds of almonds cost $5. 6 pounds of Trail Mix contains two more pounds of Raisins than Almonds. what is the cost of the 6 lb trail mix

Answer 1

Price of the 6 pounds of Trail Mix = 18 dollars

Step-by-step explanation

Let the amount of raisins in 6 pounds of Trail Mix be x pounds.

And the amount of almonds in 6 pounds of Trail Mix be y pounds.

We know that the sum of x and y has to give 6 pounds.

x + y = 6

But we know that there are 2 more pounds of Raisins than Almonds in the 6 pounds of Trail Mix

x = y + 2

x + y = 6

y + y + 2 = 6

2y + 2 = 6

2y = 6 - 2

2y = 4

Divide both sides by 2

(2y/2) = (4/2)

y = 2

x = y + 2 = 2 + 2 = 4

So, we know that there are 4 pounds of Raisin and 2 pounds of Almonds in the 6 pounds of Trail Mix.

1 pound of Raisins = 2 dollars

4 pounds of Raisin = 4(2) = 8 dollars

1 pound of Almonds = 5 dollars

2 pounds of Almonds = 2(5) = 10 dollars

Price of 6 pounds of Trail Mix

= (Price of 4 pounds of Raisins) + (2 pounds of Almonds)

= 8 + 10

= 18 dollars

Hope this Helps!!!