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18 September, 23:05

Dude 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 dude use for the mixture to cost $7.75 per pound to make

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  1. 18 September, 23:30
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    Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.

    Step-by-step explanation:

    Step 1:

    Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.

    Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.

    Step 2:

    Form an equation using the above information.

    ⇒ 9x + 5.25 (12-x) = 12 * 7.75

    ⇒ 9x + 63 - 5.25x = 93

    ⇒ 9x - 5.25x = 30

    ⇒ 3.75x = 30

    ⇒ x = 8

    Number of macadamia nuts is 8 pounds.

    Step 3:

    Calculate number pounds of almonds

    ⇒ Number of pounds of almonds = 12 - x = 4 pounds.
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