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Mr. Green had 200 dollars and Mrs.Green had 180 dollars. After they each brought the same t-shirt, the ratio of the number of dollars that Mr. Green had remaining to number of dollars that Mrs. Green had remaining was 3:2. how much money was the t-shirt.

Respuesta :

Answer: The amount of money spent on t-shirt is $140.

Step-by-step explanation:

Let the cost of t-shirt be 'x'.

Number of dollars Mr. Green has = 200 dollars

Number of dollars Mrs. Green has = 180 dollars

After the purchasing the same shirt, the ratio of remaining number of dollars is 3:2.

According to question,

[tex]\dfrac{200-x}{180-x}=\dfrac{3}{2}\\\\2(200-x)=3(180-x)\\\\400-2x=540-3x\\\\3x-2x=540-400\\\\x=140[/tex]

Hence, the amount of money spent on t-shirt is $140.

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