Final answer:
Sage can determine how many bags of potatoes to buy using the equation d = (a × p) / C, which relates the number of servings, grams per serving, and grams per bag to the number of bags needed.
Step-by-step explanation:
To help Sage decide how many bags of potatoes to buy for making roasted potatoes, we'll need to set up an equation. Given that a is the number of servings of potatoes needed, p is the grams of potatoes in each serving, C is the grams of potatoes in each bag, and d is the number of bags to purchase, the equation we can use is:
d = (a × p) / C
By multiplying the number of servings (a) by the grams of potatoes per serving (p), we calculate the total grams of potatoes needed. Then, we divide this total by the number of grams of potatoes in each bag (C) to determine how many bags (d) Sage should buy.
For example, if Sage needs to make 100 servings and each serving is 150 grams of potatoes, and each bag contains 2000 grams of potatoes, the equation would be:
d = (100 × 150) / 2000
This computation results in Sage needing 7.5 bags. Since Sage can't buy a half bag, she would need to round up and purchase 8 bags of potatoes.