a. Increase 240 in the ratio \( 7: 5 \) b. Reduce 240 in the ratio \( 2: 3 \) c. Increase 27 g in the ratio \( 4: 3 \) Talha works 3 days a week and gets paid R6000 per month. If he is now employed 5 days a week, how much should he be paid? Calculate the following: a. Divide 784 in the ratio \( 3: 4 \) b. Divide 54 books in between Asma and Aisha in the ratio \( 13: 14 \) c. Divide 567 in the ratio \( 2: 3: 4 \)

When dealing with ratios, you’re essentially comparing quantities in a proportionate way. For example, to increase 240 in the ratio \( 7:5 \), you'd find the total parts (7 + 5 = 12). Now, multiply both parts by the same factor to maintain that ratio: \( 240 \times (7/12) \) = \( 140 \) and \( 240 \times (5/12) = 100 \). So, you increase 240 to 340 (240 + 100). Math can be fun when you see how numbers balance out! Did you know that ratios are not just for math problems but are also essential in cooking and mixing drinks? If you want to create a fabulous fruit punch, following a ratio helps balance the flavors. For instance, if you’re mixing juices in a \( 2:3 \) ratio to achieve the perfect sweetness, you can easily calculate how much of each juice you need based on the total volume you want. Ratios are everywhere!