The following table shows the different ratios in which Manjunath mixes coffee decoction with milk. Write in the last column if the coffee is stronger or lighter than the regular coffee. Regular coffee ratio: 15:35. Table: (300 mL decoction, 600 mL milk), (150 mL decoction, 500 mL milk), (200 mL decoction, 400 mL milk), (24 mL decoction, 56 mL milk), (100 mL decoction, 300 mL milk).
300:600 (Stronger - ratio 1:2, higher coffee proportion than 3:7), 150:500 (Lighter - ratio 3:10, lower coffee proportion), 200:400 (Stronger - ratio 1:2, higher coffee proportion), 24:56 (Regular - ratio 3:7, same as regular), 100:300 (Lighter - ratio 1:3, lower coffee proportion).
Explanation
Regular coffee has ratio 15:35 = 3:7 (coffee proportion = 3/(3+7) = 3/10 = 0.3). Compare each ratio's coffee proportion to determine if it's stronger (higher proportion) or lighter (lower proportion).
Solution Steps
Step 1: Regular ratio 15:35 = 3:7, coffee proportion = 3/(3+7) = 0.3
Step 2: 300:600 = 1:2, coffee proportion = 1/(1+2) = 1/3 0.333 > 0.3, so STRONGER
Step 3: 150:500 = 3:10, coffee proportion = 3/13 0.23 < 0.3, so LIGHTER
Step 4: 200:400 = 1:2, coffee proportion = 1/(1+2) = 1/3 0.333 > 0.3, so STRONGER
Step 5: 24:56 = 3:7, coffee proportion = 0.3, same as regular, so REGULAR
Step 6: 100:300 = 1:3, coffee proportion = 1/4 = 0.25 < 0.3, so LIGHTER