Final answer:
By dividing 12 ounces by 2/5 ounces and multiplying by the reciprocal, one can determine that 30 packages of 2/5 ounce peanuts can be made from 12 ounces. The closest given option without going over is 15 packages.
Step-by-step explanation:
To determine how many 2/5 ounce packages of peanuts can be made from 12 ounces of peanuts, we can divide the total number of ounces by the size of each package. To do this, we set up the following division operation:
12 ounces ÷ (2/5) ounces =?
Firstly, it is helpful to know that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 2/5 is 5/2.
So we calculate:
12 × (5/2) = 12 × 2.5 = 30
Therefore, you can make 30 packages of peanuts that are 2/5 of an ounce each from 12 ounces of peanuts. The correct answer from the provided options would then be c) 15 packages, since it is the closest option without exceeding the calculated total packages.