Joanie is organizing her closet. She has 3 times as many black shirts as gray shirt, plus 3 new black shirts she bought. She has 5 times as many white shirts as gray shirts. If she has the same number of black and white shirts, how many grey shirts does Joanie have.

Answer 1

Let g be the number of gray shirts.
Joanie has 3g + 3 black shirts.
She also has 5g white shirts.
She has 3g + 3 = 5g black shirts.
Substituting the second equation into the third equation, we get 3g + 3 = 5g.
Subtracting 3g from both sides, we get 3 = 2g.
Dividing both sides by 2, we get g = 3. Answer: \boxed{3}.

Answer 2

Joanie is organizing her closet. She has 3 times as many black shirts as gray shirt, plus 3 new black shirts she bought. She has 5 times as many white shirts as gray shirts, minus the 1 white shirt she donated. Joanie has 2 times more gray shirts than brown shirts. If she has the same number of black and white shirts, how many grey shirts does Joanie have?

Answer 3

Let's call the number of gray shirts "g".
Since Joanie has 3 times as many black shirts as gray shirts, she has 3g black shirts, plus 3 new ones, giving her a total of 3g + 3 black shirts.
She has 5 times as many white shirts as gray shirts, minus the 1 she donated, giving her 5g - 1 white shirts.
If she has the same number of black and white shirts, that means 3g + 3 = 5g - 1.
By adding 1 to both sides of the equation, we get 3g + 4 = 5g.
By subtracting 3g from both sides of the equation, we get 4 = 2g.
Now we can divide both sides of the equation by 2, giving us g = 2.
So Joanie has \boxed{2} gray shirts.