Three friends, Amina, Brian, and Chebet, invest in a business in the ratio 3:5:2. They make a profit of 12,000 shillings. How much does each person receive?

Here are the solutions to the problems. Problem 1: a) How many kilograms of maize flour were used? Step 1: Set up the ratio for maize flour to millet. The ratio of maize flour to millet is 5:3. We are given that 24 kg of millet were used. Let M be the amount of maize flour used. (M)/(24 kg) = (5)/(3) Step 2: Solve for M. M = (5)/(3) × 24 kg M = 5 × 8 kg M = 40 kg The amount of maize flour used was 40 kg. b) If the school wants to prepare enough porridge for twice as many students, how much maize flour and millet will be used? Step 1: Determine the new amounts needed for twice as many students. To prepare for twice as many students, the amount of each ingredient must be doubled. From part (a), maize flour used was 40 kg and millet used was 24 kg. Step 2: Calculate the new amounts of maize flour and millet. New maize flour needed: 2 × 40 kg = 80 kg New millet needed: 2 × 24 kg = 48 kg For twice as many students, the school will use 80 kg of maize flour and 48 kg of millet. Problem 2: Three friends, Amina, Brian, and Chebet, invest in a business in the ratio 3:5:2. They make a profit of 12,000 shillings. How much does each person receive? Step 1: Calculate the total number of ratio parts. The investment ratio is Amina : Brian : Chebet = 3:5:2. Total parts = 3 + 5 + 2 = 10 parts. Step 2: Calculate Amina's share of the profit. Amina's share = Amina's ratio partTotal ratio parts × Total profit Amina's share = (3)/(10) × 12,000 shillings Amina's share = 3 × 1,200 shillings = 3,600 shillings Step 3: Calculate Brian's share of the profit. Brian's share = Brian's ratio partTotal ratio parts × Total profit Brian's share = (5)/(10) × 12,000 shillings Brian's share = 5 × 1,200 shillings = 6,000 shillings Step 4: Calculate Chebet's share of the profit. Chebet's share = Chebet's ratio partTotal ratio parts × Total profit Chebet's share = (2)/(10) × 12,000 shillings Chebet's share = 2 × 1,200 shillings = 2,400 shillings Amina receives 3,600 shillings, Brian receives 6,000 shillings, and Chebet receives 2,400 shillings. Send me the next one 📸