Marquese is making 10 pounds of trail mix from raisins and nuts. Raisins cost $3.45 per pound, and nuts cost $7.95 per pound. How many pounds of raisins and how many pounds of nuts should marquese use for the trail mix to cost him $6.96 per pound?

7.8 pounds of nuts and 2.2 pounds of raisins

Explanation:

Explanation:

7.95x+3.45 (10-x) = 10 (6.96) (Multiply)

7.95x+34.5-3.45x=69.6 (Subtract 7.95x-3.45x and subtract 34.5 from 69.6)

4.5x=35.1 (Divide 4.5 from 35.1)

x=7.8 pounds of nuts

10-7.8=2.2 pounds of raisins

Pounds of raisins = 8.78 pounds

Pounds of nuts = 1.22 pounds

Explanation:

Let X equal pounds of raisins Let (10-X) equal pounds of nuts Multiply by the costs for each and set it all equal to 10 pounds at $4/pound

$3.45X + $7.95 (10-x) = 10 pounds * $4/pound

$3.45X + 79.50 - 7.95x = $40

Now simplify the x variables on the left and subtract the dollar amount from the right:

3.45x-7.95x = 40-79.50

-4.5x = - 39.50

Divide by negative 4.5 to solve for x

x = 8.78 (rounded)

Remember that x = amount of raisins and (10-x) = pounds of nuts

Pounds of raisins = 8.78 pounds

Pounds of nuts = (10-8.78) = 1.22 pounds

Notice that 8.78+1.22 = 10 pounds, so it all checks out!