Final answer:
The ratio of Hallie's to Mattie's donation of blue jeans is 2:6, which can be simplified to 1:3.
Step-by-step explanation:
Step 1: Identifying the Quantities
We are given that Hallie donated 2 pairs of blue jeans and Mattie donated 6 pairs. These are the two quantities we need to compare.
Step 2: Defining Ratio
A ratio represents the relationship between two quantities by dividing them. It is typically written as "a : b," where "a" and "b" are the two quantities being compared.
Step 3: Writing the Ratio
In this case, we are comparing Hallie's donations (a) to Mattie's donations (b). Therefore, the ratio can be written as a : b.
Step 4: Substituting the Values
Substituting the number of jeans donated by each person, we get:
a : b = 2 : 6
This reads as "2 to 6," meaning that Hallie donated 2 pairs of jeans for every 6 pairs donated by Mattie.
Step 5: Interpretation
The ratio 2:6 provides a clear and concise way to express the relationship between Hallie and Mattie's donations. It allows us to compare their contributions directly and understand how they are proportional.