Final answer:
Jules can make 12 bags of peanuts using the equation n = 3 divided by (1/4), which simplifies to n = 3 × 4, giving us n = 12.
Step-by-step explanation:
The student is presented with a problem where Jules has 3 pounds of peanuts and wants to put them into bags that each hold 1/4 pound. To find the number of bags n that Jules can make, we use division since we are dividing the total amount of peanuts by the amount that goes into each bag. Therefore, the equation that represents the problem is:
n = 3 ÷ (1/4)
When we divide by a fraction, it is equivalent to multiplying by the reciprocal of that fraction. Thus, the equation simplifies to:
n = 3 × 4
Which gives us:
n = 12
So Jules can make 12 bags of peanuts.