Mrs. Perez decided to motivate her daughter to help clean the house and backyard every day by providing the following incentives: she will give 1/3 of P150.00 on the first day's work, 2/3 of P300 on the 2nd day's work, 4/3 of P600 for the third day's work. How much did her daughter earn for the 4th day's work? (Pattern Recognition)
Answer (1)
Final AnswerP3,200SolutionDay 1:1/3 of P150 = P50Day 2:2/3 of P300 = P200Day 3:4/3 of P600 = (4 ÷ 3) × 600 = P800Fractions usedDay 1: 1/3Day 2: 2/3Day 3: 4/3This shows a pattern of doubling the numerator: 1, 2, 4...So Day 4 would be 8/3.Base amounts used150, 300, 600 — the amount doubles each daySo Day 4 amount = P1200Day 4 Calculation8/3 of 1200 = (8 ÷ 3) × 1200= 8 × 400 = P3,200
