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In August, Emily's Clothing Store sold 460 shirts with the ratio pf short sleeve to long sleeve being 3:7 How many short sleeve shirts were sold?

In August, Emily s Clothing Store sold 460 shirts with the ratio pf short sleeve to long sleeve being 3:7 How many short sleeve shirts were sold? class=

Verified Answer :

Ok first we would find what it would be like if it were 1:7 

so 460/3 153.3e so 153.0

153*7=1071

so 1071 Ssleeves were sold

Answer: 30

Step-by-step explanation:

Given : In August, Emily's Clothing Store sold 460 shirts with the ratio of short sleeve to long sleeve being 3:7 .

Let the number of short sleeve shirts be 3x and the number of long sleeve shirts be 7x.

Then , according to the question, we have

\(3x+7x=460\\\\\Rightarrow\ 10x=460\\\\\Rightarrow\ x=\dfrac{460}{10}=46\)

Now, the number of short sleeve shirts sold = \(3(10)=30\)

Hence, 30 short sleeve shirts were sold.