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Answer:

$21 in all

Step-by-step explanation:

$9 for 3 pounds of peanuts

$12 for 6 pounds of walnuts

The division is one of the four fundamental arithmetic operations. The amount that Jim will pay for 3 lbs of peanuts and 6 lbs of walnuts is $21.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given Eight pounds of peanuts cost $24.00. Therefore, the cost of one pound of peanuts is,

[tex]\rm \text{Cost of One Pound of peanuts} = \dfrac{\text{Cost of 8 Pound of peanuts}}{\text{Weight of Peanut}} =\dfrac{\$24}{8} = \$3\ per\ pound\ of\ peanut[/tex]

The cost of six-pound of walnut is half as much as the cost of eight pounds of peanuts. Therefore, the cost of six-pound of walnut is $6.[tex]\rm \text{Cost of One Pound of walnut} = \dfrac{\text{Cost of 6 Pound of walnut}}{\text{Weight of walnut}} =\dfrac{\$12}{6} = \$2\ per\ pound\ of\ walnut[/tex]

Now, the cost of 3 lbs of peanuts and 6 lbs of walnuts is

[tex]\text{Total cost} = (3 \times \$3) + (6 \times \$2) = \$9 +\$12 = \$21[/tex]

Hence, the amount that Jim will pay for 3 lbs of peanuts and 6 lbs of walnuts is $21.

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