Question
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
Solution
4.6
(190 Votes)
Irving
Elite ยท Tutor for 8 years
Answer
### a) Part-to-Part: 1 apple to 4 oranges; Part-to-Whole: 1 apple to 5 fruits, 4 oranges to 5 fruits. b) Part-to-Part: 75 boys to 600 girls; Part-to-Whole: 75 boys to 675 students, 600 girls to 675 students.
Explanation
## Step 1: Understanding Part-to-Part and Part-to-Whole Ratios### 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.## Step 2: Example for Ratio
### For the ratio
, consider a scenario involving apples and oranges in a fruit basket.- **Part-to-Part**: If there is 1 apple for every 4 oranges, the ratio of apples to oranges is
.- **Part-to-Whole**: The total number of fruits is
. Thus, the ratio of apples to the total number of fruits is
, and the ratio of oranges to the total number of fruits is
.## Step 3: Example for Ratio
### For the ratio
, consider a scenario involving students in a school.- **Part-to-Part**: If there are 75 boys for every 600 girls, the ratio of boys to girls is
.- **Part-to-Whole**: The total number of students is
. Thus, the ratio of boys to the total number of students is
, and the ratio of girls to the total number of students is
.