Recalling Ratios and Percentages A ratio compares two quantities in different units. For example, if you have 5 apples and 10 oranges, the ratio of apple...
A ratio compares two quantities in different units. For example, if you have 5 apples and 10 oranges, the ratio of apples to oranges would be 5:10, which simplifies to 1:2.
A percentage is a ratio expressed as a percentage, where 100 represents 100%. So, if 2 apples are out of 10, the percentage of apples would be 20%.
Both ratios and percentages allow us to compare things that are not directly comparable, like the number of apples and oranges or the percentage of students who achieved a certain score.
Key points to remember about ratios and percentages:
They are equivalent, meaning the same value is represented by both. 5:10 = 1:2.
They are inversely related, meaning that if one increases, the other decreases. For example, if there are 10 apples and 20 oranges, the ratio of apples to oranges would still be 1:2.
They are useful for finding missing information or comparing different quantities.
Examples:
If you have 10 apples and 20 oranges, the ratio of apples to oranges would be 10:20, which simplifies to 1:2.
If 30 students achieved a score of 80%, the percentage of students who achieved that score would be 30%.
If you have 5 apples and 10 oranges, the ratio of apples to oranges would be 5:10, and the percentage of apples would be 50%.
By understanding ratios and percentages, you can analyze and compare quantities in various situations, from simple ratios of books in a library to the percentages of students who qualify for a scholarship