4. Look at the ratios below. Write an example of how these ratios could be used in a part-to-part and part-to -whole scenario. a) 1:4 b) 75:600

## Step 1: Understanding Part-to-Part and Part-to-Whole Ratios<br />### A part-to-part ratio compares one part of a whole to another part, while a part-to-whole ratio compares one part to the entire whole. We will create examples for each scenario using the given ratios.<br /><br />## Step 2: Example for Ratio \(1:4\)<br />### For the ratio \(1:4\), consider a scenario involving apples and oranges in a fruit basket.<br />- **Part-to-Part**: If there is 1 apple for every 4 oranges, the ratio of apples to oranges is \(1:4\).<br />- **Part-to-Whole**: The total number of fruits is \(1 + 4 = 5\). Thus, the ratio of apples to the total number of fruits is \(\frac{1}{5}\), and the ratio of oranges to the total number of fruits is \(\frac{4}{5}\).<br /><br />## Step 3: Example for Ratio \(75:600\)<br />### For the ratio \(75:600\), consider a scenario involving students in a school.<br />- **Part-to-Part**: If there are 75 boys for every 600 girls, the ratio of boys to girls is \(75:600\).<br />- **Part-to-Whole**: The total number of students is \(75 + 600 = 675\). Thus, the ratio of boys to the total number of students is \(\frac{75}{675}\), and the ratio of girls to the total number of students is \(\frac{600}{675}\).