Question
There were some tarts in a box 5 8 of the tarts were chocolate tarts and the rest were vanilla tarts after mrs cheng sold 1 3 of the vanilla tarts there were 30 vanilla tarts left in the box how many tarts were there altogether in the box at first?
Answers
GPT 3.5
Let's assume that the total number of tarts at first is represented by x.
The number of chocolate tarts in the box is 5/8 of x, which is (5/8)x.
The number of vanilla tarts in the box is x - (5/8)x, which simplifies to (3/8)x.
After Mrs. Cheng sold 1/3 of the vanilla tarts, there were 30 left, so (2/3)(3/8)x = 30.
Multiplying both sides by (3/2) gives (3/8)x = 45.
Dividing both sides by (3/8) gives x = 45/(3/8), which simplifies to x = 45 * (8/3), which is x = 120.
So, there were 120 tarts altogether in the box at first. Answer: \boxed{120}.
The number of chocolate tarts in the box is 5/8 of x, which is (5/8)x.
The number of vanilla tarts in the box is x - (5/8)x, which simplifies to (3/8)x.
After Mrs. Cheng sold 1/3 of the vanilla tarts, there were 30 left, so (2/3)(3/8)x = 30.
Multiplying both sides by (3/2) gives (3/8)x = 45.
Dividing both sides by (3/8) gives x = 45/(3/8), which simplifies to x = 45 * (8/3), which is x = 120.
So, there were 120 tarts altogether in the box at first. Answer: \boxed{120}.