Answer the following questions on the division of quantities in a given ratio: a) Divide 2100 in the ratio of 34 (3)

To divide 2100 in the ratio 34:3, first, add the parts of the ratio together: 34 + 3 = 37. Next, determine the value of one part by dividing the total quantity by the sum of the ratio: 2100 ÷ 37 = 56.76 (approximately). Then multiply the value of one part by each part of the ratio. For the first part (34), it's 34 × 56.76 ≈ 1929.76. For the second part (3), it's 3 × 56.76 ≈ 169.24. Thus, 2100 divided in the ratio of 34:3 is approximately 1929.76 and 169.24. Now, isn’t it fascinating how ratios can help us split things up evenly? Ratios are everywhere—in recipes, construction, and even when planning events! For example, if you're throwing a party and want drinks and snacks in a certain ratio, understanding how to calculate it ensures all guests go home happy and satisfied. Remember, the secret to a successful ratio division lies in precise calculations!