The table shows the number of shirts ordered by a basketball club. The club ordered a total of 54 pink shirts. How many medium, pink shirts did they order?
| | Orange | Pink | Red |
| :----- | :----- | :--- | :-- |
| Small | 19 | 13 | 4 |
| Medium | 20 | | 6 |
| Large | 5 | 25 | 30 |
Answer (2)
Identify the number of small and large pink shirts from the table.
Set up an equation: 13 + x + 25 = 54 , where x is the number of medium pink shirts.
Simplify the equation: 38 + x = 54 .
Solve for x : x = 54 − 38 = 16 . The number of medium pink shirts is 16 .
Explanation
Understanding the Problem We are given a table that shows the number of shirts ordered by a basketball club, categorized by size (Small, Medium, Large) and color (Orange, Pink, Red). We know that the club ordered a total of 54 pink shirts. Our goal is to find out how many of these pink shirts were medium-sized.
Identifying Knowns and Unknowns From the table, we can see that:
There were 13 small pink shirts.
There were 25 large pink shirts.
The number of medium pink shirts is unknown, let's call it x .
Setting up the Equation The total number of pink shirts is the sum of the number of small, medium, and large pink shirts. Therefore, we can write the equation:
13 + x + 25 = 54
Simplifying the Equation Now, we need to solve the equation for x . First, combine the known numbers on the left side of the equation:
13 + 25 = 38
So the equation becomes:
38 + x = 54
Solving for x To isolate x , subtract 38 from both sides of the equation:
x = 54 − 38
x = 16
Stating the Answer Therefore, the number of medium pink shirts ordered by the basketball club is 16.
Examples
Imagine you are organizing a sports team's merchandise orders. Knowing how to calculate the number of items in a specific category (like medium pink shirts) helps you manage inventory efficiently. This ensures you have the right sizes and colors in stock, preventing shortages and keeping team members happy. This type of problem is also useful in broader inventory management scenarios, such as in retail or warehouse settings, where tracking specific product variations is crucial for meeting customer demand.
The basketball club ordered a total of 16 medium pink shirts. This was calculated using the equation formed from the known quantities of pink shirts. By subtracting the total of small and large pink shirts from the overall total, we determined the quantity of medium pink shirts.
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