This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the fraction of rice remaining after Day 1. The school used (1)/(6) of the total rice on the first day. Fraction remaining after Day 1 is: 1 - (1)/(6) = (6)/(6) - (1)/(6) = (5)/(6) Step 2: Determine the fraction of rice used on Day 2. On the second day, (1)/(5) of the remaining rice was used. Fraction used on Day 2 = (1)/(5) × (fraction remaining after Day 1) (1)/(5) × (5)/(6) = (1)/(6) Step 3: Determine the total fraction of rice used on Day 1 and Day 2. Total fraction used = (Fraction used on Day 1) + (Fraction used on Day 2) (1)/(6) + (1)/(6) = (2)/(6) = (1)/(3) a) Step 4: Determine the fraction of rice that was shared equally for the last 4 days. The "rest of the rice" was shared equally for the last 4 days. This is the fraction remaining after Day 2. Fraction remaining after Day 2 = 1 - (Total fraction used after Day 2) 1 - (1)/(3) = (3)/(3) - (1)/(3) = (2)/(3) This is the fraction of rice shared equally for the last 4 days. The fraction of rice that was shared equally for the last 4 days is (2)/(3). b) Step 5: Determine the fraction of the total rice used on the last day. The fraction (2)/(3) of the total rice was shared equally over 4 days (Day 3, Day 4, Day 5, Day 6). The amount used on each of these 4 days is (1)/(4) of this remaining fraction. Fraction used on the last day (Day 6) = (1)/(4) × (2)/(3) (1)/(4) × (2)/(3) = (2)/(12) = (1)/(6) Step 6: Calculate the total mass of rice the school had bought. We know that the mass used on the last day was 37.5 kg, which corresponds to (1)/(6) of the total mass. Let T be the total mass of rice bought. (1)/(6) T = 37.5 kg To find T, multiply both sides by 6: T = 37.5 × 6 T = 225 kg The mass of rice that the school had bought is 225 kg. Send me the next one 📸