Daily Math Puzzle: 2026-10-03

105 grams — Let N be the amount of nutmeg, C be the amount of cinnamon, and G be the amount of ginger, all in grams. From the recipe's specifications, we can set up the following relationships: 1. "The amount of cinnamon must be twice the amount of nutmeg" translates to: C = 2N 2. "The amount of ginger must be half the amount of cinnamon" translates to: G = C / 2 We are also told that the total weight of these three spices is 420 grams: 3. N + C + G = 420 Now, we can use substitution to express all variables in terms of a single variable, N: Substitute C = 2N into equation (2): G = (2N) / 2 G = N Now, substitute C = 2N and G = N into equation (3): N + (2N) + (N) = 420 Combine the like terms: 4N = 420 Solve for N: N = 420 / 4 N = 105 So, there are 105 grams of nutmeg in one full batch. (Cinnamon would be 2 * 105 = 210g, and Ginger would be 105g. Total = 105 + 210 + 105 = 420g).