Purity will pay a third of Rose's share, which translates to 1800/3 = <<1800/3=600>>600 dollars.

Sheila has offered to pay 5 * 600 = <<5*600=3000>>3000 dollars

Combining everyone’s share of the rent will give a total of 600 + 3000 + 1800 = <<600+3000+1800=5400>>5400 dollars

# Answer

5400
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Sheila, Purity, and Rose want to rent a house. Sheila has offered to pay five times Purity’s share of the rent. Rose can only afford thrice what Purity pays. If Rose’s share is $1,800, what is the total house rent?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
5400
Sheila, Purity, and Rose want to rent a house. Sheila has offered to pay five times Purity’s share of the rent. Rose can only afford thrice what Purity pays. If Rose’s share is $1,800, what is the total house rent?
train