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A man sold 4 times as many tie dyed T shirts as silk screened shirts. He sold 190 shirts altogether. how many tie dyed shirts did he sell?

User Sleeper
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1 Answer

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Answer: 152 tie dyed T shirts

Let the number of dyed T shirts be = x

Let the number of silk screened shirts be = y

He sold sold 4 times as many tie dyed T shirt as screened shirts

Since x = Tie dyed T shirt

Therefore, x = 4y

x = 4y ------------------- equation 1

He sold 190 shirts all together

x + y = 190 ------------ equation 2

Substitute the value of x = 4y into equation 2

4y + y = 190

5y = 190

Divide both sides by 5

5y/5 = 190/5

y = 38

Since x = 4y

x = 4(38)

x = 152 tie dyed T shirts

Therefore, 152 tie dyed T shirts was sold

According to the question, the man sold 4 times as many tie dyed T shirt as silk screened shirt

This implies that for 1 silk screen shirt sold, he would also sell 4 tie dyed T shirt

Since, x = tie dyed T shirt and y = silk screened shirts

Then, x= 4 x y

x = 4y

The man sold 190 shirts altogether

This implies that, he sold a total of 190 of both tie dyed T -shirt and silk screened shirts

Mathematically,

x + y = 190

Since x = 4y

Then, 4y + y = 190

This Implies that for 1

User Sergiy Ostrovsky
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