QuestionDebbie is on a pickleball team. Her team has 3 wins for every 2 losses so far this season.
Pick the diagram that models the ratio in the story.
If Debbie's team has won 9 games, how many games have they played altogether?
games
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Studdy Solution
STEP 1
What is this asking?
We need to find a diagram that visually represents the ratio of wins to losses, and then figure out the total number of games played given a specific number of wins.
Watch out!
Don't mix up wins and losses!
Make sure you're clear on which is which in the ratio.
Also, remember that the total number of games includes *both* wins and losses.
STEP 2
1. Visualize the Ratio
2. Calculate Total Games
STEP 3
Alright, pickleball fans!
Debbie's team has a win-loss ratio of 3 to 2.
This means for every 3 games they win, they lose 2 games.
We can visualize this ratio as a group of **3 wins** and a group of **2 losses**.
STEP 4
The diagram that matches this would show 3 parts representing wins and 2 parts representing losses.
So, look for a diagram with **3 sections** for wins and **2 sections** for losses!
STEP 5
Now, we know they've won **9 games**.
Since the ratio of wins to losses is 3 to 2, let's figure out how many groups of 3 wins are in those 9 wins.
We can do this by dividing: .
So, there are **3 groups** of wins!
STEP 6
Since there are **3 groups** of wins, and for every group of wins there's a corresponding group of losses, there must also be **3 groups** of losses.
Each group of losses represents 2 losses, so we multiply to find the total number of losses: losses.
STEP 7
To find the total number of games played, we add the total wins and total losses: .
STEP 8
The diagram should show 3 parts for wins and 2 parts for losses.
Debbie's team has played a total of **15** games.
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