
Nathan B. answered 09/07/19
Elementary and Algebraic skilled
Let's first find out how much breadcrumbs we're going to need:
1 3/4 cups → 7/4 cups per meatloaf
7 cups/4 * 1 meatloaf * 7 meatloafs = 49/4 cups of breadcrumbs needed in total.
Now let's find out how many cups are in a canister:
1/3 * 14 = 14/3 cups (we're given 1/3 a cup is a single serving size, and each canister holds about 14 servings)
Here's the algebraic way of solving:
14/3 n ≥ 49/4, where n is the number of canisters needed. I'm using ≥ because we cannot buy only part of a canister. Multiply both sides by 3/14:
14/3 n * 3/14 ≥ 49/4 * 3/14
We can factor out a 7:
n ≥ 7/4 * 3/2
n ≥ 21/8 → 2 5/8
Rounding up, you're going to need three canisters:
28/3 (2 canisters) < 49/4 (needed) < 42/3 (3 canisters)
9 1/3 < 12 1/4 < 14