5. Divide 36 in the ratio: a) \( 1: 2 \) b) \( 1: 3 \) c) \( 5: 4 \)

To divide 36 in the ratio \( 1: 2 \), you first add the parts of the ratio together, which is \( 1 + 2 = 3 \). Then, divide 36 by 3 to find the value of one part, which is \( 12 \). So, the two parts will be \( 1 \times 12 = 12 \) and \( 2 \times 12 = 24 \). For \( 1: 3 \), the total parts is \( 1 + 3 = 4 \). Dividing 36 by 4 gives \( 9 \) per part. Therefore, the parts are \( 1 \times 9 = 9 \) and \( 3 \times 9 = 27 \). In the case of \( 5: 4 \), compute the total parts as \( 5 + 4 = 9 \). Dividing 36 by 9 results in \( 4 \) per part. The portions will be \( 5 \times 4 = 20 \) and \( 4 \times 4 = 16 \).