Problem

SOLUTION (5) A manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. The manager plans to order 24 medium shirts. How many small shirts and large shirts will the manager order? Show your work. SOLUTION OCurriculum Associates, LLC Copying permitted for classroom use. GRADE 7 - Lesson 0 6 Downloaded by D. Vivolo at LOS ARBOLES MIDDLE SCHOOL. This resource expires on 6/30/2024.

Solution

Step 1 :The problem is asking for the number of small and large shirts the manager will order given that he orders 2 small shirts and 3 large shirts for every 4 medium shirts. Since he plans to order 24 medium shirts, we can set up a proportion to find out how many small and large shirts he will order.

Step 2 :Let's denote the number of medium shirts as \(medium\_shirts\), the ratio of small to medium shirts as \(small\_to\_medium\), and the ratio of large to medium shirts as \(large\_to\_medium\).

Step 3 :We know that \(medium\_shirts = 24\), \(small\_to\_medium = 0.5\), and \(large\_to\_medium = 0.75\).

Step 4 :We can calculate the number of small shirts as \(small\_shirts = medium\_shirts \times small\_to\_medium = 24 \times 0.5 = 12.0\).

Step 5 :Similarly, we can calculate the number of large shirts as \(large\_shirts = medium\_shirts \times large\_to\_medium = 24 \times 0.75 = 18.0\).

Step 6 :Final Answer: The manager will order \(\boxed{12}\) small shirts and \(\boxed{18}\) large shirts.

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Source: https://solvelyapp.com/problems/20726/

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