olve the following problems using the indicated strategy. . A company produces widgets. For each batch of widgets, they use 2/5 of the raw material in the first step of production and 3/5 in the second step. If they have 500 kilograms of raw material, how much do they use in each step? (Pattern Recognition . Mary has ¼ of a cake. She gives half of the cake to her sister. What fraction of the c does her sister receive? (Draw a picture) 3. Royce bought 20 t-shirts. 1/5 of these t-shirts are small size, 1/5 are medium size, 3/5 are large size. How many large size t-shirts did he bought? (Draw a picture) 4. 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 fi 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) 5. Analiza has 60 pcs of hair clips. % of which are red, ¼ are yellow, the remaining color is blue. How many are the blue clips? (Draw a picture)
Answer (1)
1. Widget Problem: Raw material = 500 kgFirst step: 2/5 × 500 = 200 kgSecond step: 3/5 × 500 = 300 kgAnswer: 200 kg for the first step, 300 kg for the second.2. Cake Fraction: Mary has ¼ of a cake. She gives half of this to her sister. ½ of ¼ = 1/2 × 1/4 = 1/8Answer: Her sister receives 1/8 of the whole cake.3. Royce’s T-shirts: 20 shirts 3/5 are large size: 3/5 × 20 = 12 shirtsAnswer: Royce bought 12 large-size t-shirts.4. Mrs. Perez's Incentives:Day 1: 1/3 of 150 = 50Day 2: 2/3 of 300 = 200Day 3: 4/3 of 600 = 800Using Pattern Recognition: Each day, the numerator doubles, and denominator remains 3.Day 4: 8/3 of 1200 = (8 × 1200) ÷ 3 = 9600 ÷ 3 = ₱3,200Answer: ₱3,200 for the 4th day5. Hair Clips: Total = 60 clips ½ red = 30 clips ¼ yellow = 15 clips Remaining = 60 − (30+15) = 15 clipsAnswer: 15 blue hair clips
