A hair company makes three batches of scented shampoo using the recipe shown. Each batch contains a different total amount of shampoo. 1/2 is pineapple, 1/5 is banana, 3/10 is coconut. Batch 1:PineappleBananaCoconut is 2 1/10Batch 2:PineappleBanana is 3 1/5Coconut Batch 3:Pineapple is 2 1/2BananaCoconut

Answer:Batch 1:  Pineapple = 3 1/2; Banana = 1 2/5Batch 2:  Pineapple = 8; Coconut = 4 4/5Batch 3:  Banana = 1; Coconut = 1 1/2Step-by-step explanation:For Batch 1:We know that coconut is 3/10 of the mixture, and we have 2 1/10 coconut:3/10x = 2 1/10Converting 2 1/10 to an improper fraction, we have3/10x = 21/10Divide both sides by 3/10:3/10x ÷ 3/10 = 21/10 ÷ 3/10To divide fractions, flip the second one and multiply:x = 21/10 × 10/3 = 210/30 = 7This means we have 7 total of the mixture.1/2 of this is pineapple:  1/2(7) = 7/2 = 3 1/21/5 is banana:  1/5(7) = 7/5 = 1 2/5For Batch 2:1/5 of the total is banana; we have 3 1/5 banana:1/5x = 3 1/5Convert the second fraction to an improper fraction:1/5x = 16/5Divide both sides by 1/5:1/5x÷1/5 = 16/5÷1/5Flip the second fraction and multiply:x = 16/5×5/1 = 80/5 = 16We have 16 of the total shampoo.Pineapple is 1/2 of this:1/2(16) = 8Coconut is 3/10 of the total:3/10(16) = 48/10 = 4 8/10 = 4 4/5For Batch 3:Pineapple is 1/2 of the total.  We have 2 1/2 pineapple:1/2x = 2 1/2Convert the fraction on the right to improper:1/2x = 5/2Divide both sides by 1/2:1/2x÷1/2 = 5/2÷1/2Flip the second fraction and multiply:x = 5/2×2/1 = 10/2 = 5We have 5 total shampoo.Banana is 1/5 of this:1/5(5) = 1Coconut is 3/10 of this:3/10(5) = 15/10 = 1 5/10 = 1 1/2