During an art contest at your school you and a classmate each won blue ribbons for 1/3 of the pieces you entered in the contest .you won 2 blue ribbons and your classmate won 3 blue ribbons.explain how this could be
You enter: 6 Ribbons
Classmate enters: 9 ribbons
You
2 = 1/3 x
Classmate
3 = 1/3 x
In both cases, multiply both sides by 3.
I hope this helps a little more. Thanks for asking.
In order to explain how both you and your classmate won blue ribbons for only a fraction of the pieces you entered, let's break it down step by step.
First, it is mentioned that you and your classmate won blue ribbons for 1/3 of the pieces you entered. This means that out of all the artwork you and your classmate submitted, only a fraction of them were awarded blue ribbons.
Next, you won 2 blue ribbons and your classmate won 3 blue ribbons. Based on this information, we can infer that you and your classmate entered different numbers of pieces into the contest.
To better understand the situation, we can use variables to represent the total number of pieces you and your classmate entered. Let's say you entered "x" number of artworks, while your classmate entered "y" number of artworks.
Since you won 2 blue ribbons and your classmate won 3 blue ribbons, we can set up the following equations:
For you: 2 blue ribbons = (1/3)x pieces
For your classmate: 3 blue ribbons = (1/3)y pieces
Simplifying the equations, we can multiply both sides by 3 to get rid of the fractions:
For you: 6 = x
For your classmate: 9 = y
This means that you entered 6 pieces into the contest, while your classmate entered 9 pieces. Since you won 2 blue ribbons and your classmate won 3 blue ribbons, it is possible for both of you to have only won blue ribbons for 1/3 of the pieces you entered.
In summary, you being awarded 2 blue ribbons and your classmate being awarded 3 blue ribbons for 1/3 of the pieces you entered in the art contest suggests that you entered 6 pieces while your classmate entered 9 pieces.