Answered

Mr. Carandang sold a total of 1,790 prints of one of his drawings. Out of all 1,273 unframed prints that he sold, 152 were small and 544 were medium-sized. Out of all of the framed prints that he sold, 23 were small and 42 were extra large. Of the large prints that he sold, 188 were framed and 496 were unframed.




SmallMediumLargeExtra LargeTotal

Framed		2326418842?

Unframed		152544496811,273

Total		1758086841231,790






How many framed prints did Mr. Carandang sell?


A329
B475
C517
D1,034

Verified Answer :

  • Use the given data: Total prints sold = \(1{,}790\); total unframed prints sold = \(1{,}273\).
  • Recognize the relationship: \(\text{Framed Prints} = \text{Total Prints} - \text{Unframed Prints}\).
  • Calculate: \(1{,}790 - 1{,}273 = 517\).
  • The total number of framed prints is \(\boxed{517}\).

Explanation

  1. Problem Analysis and Relationship Definition

We are given the total number of prints sold by Mr. Carandang, which is \(1{,}790\). We are also given that the total number of unframed prints sold is \(1{,}273\). We need to determine the total number of framed prints sold. We know that every print sold must be either framed or unframed, so the relationship between these quantities is:
\[\text{Total Prints} = \text{Framed Prints} + \text{Unframed Prints}\]
This means we can find the total number of framed prints by subtracting the number of unframed prints from the total number of prints sold.

  1. Calculating the Number of Framed Prints

Using the values provided:
\[\text{Total Prints} = 1{,}790\]
\[\text{Unframed Prints} = 1{,}273\]
The number of framed prints is calculated as:
\[\text{Framed Prints} = \text{Total Prints} - \text{Unframed Prints}\]
\[\text{Framed Prints} = 1{,}790 - 1{,}273 = 517\]
So, the total number of framed prints sold is \(517\).

  1. Verification and Conclusion

We can verify our result using the data from the table. The table provides the breakdown of framed prints by size:

  • Small: \(23\)
  • Medium: \(264\)
  • Large: \(188\)
  • Extra Large: \(42\)

Summing these up gives:
\[23 + 264 + 188 + 42 = 517\]
This sum matches our calculated result of \(517\), confirming that our calculation is correct. The correct option from the given list is \(517\).

Examples

Imagine you are managing an inventory for an art store. Keeping track of how many items are sold in different conditions, such as 'framed' versus 'unframed', is crucial for business analysis. By understanding the relationship between the total inventory sold and specific categories (like framed prints), you can efficiently manage your stock levels and assess sales performance for different product types. This simple subtraction helps you quickly reconcile sales records and ensures accurate inventory tracking.

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