The chest of drawers sold for half as much as the treadmill, for a price of $100/2= $<<100/2=50>>50.

The television sold for three times what he earned for the treadmill, for a price of $100*3= $<<100*3=300>>300.

For the three items, he raised $100+$50+$300 = $<<100+50+300=450>>450.

If $450 is 75% of the total sum of money that Toby made at the garage sale, then the total amount is $450 / (75/100) = $600.

# Answer

600
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Toby held a garage sale to raise money to support friends who have lost their jobs.  Of all the items that he sold during the garage sale, three of the items he sold made up 75% of the total amount of sales money he earned.  He sold a treadmill for $100, a chest of drawers for half as much as he made for selling the treadmill, and he sold a television for three times what he earned for selling the treadmill.  What is the total sum of money, in dollars, that Toby made at the garage sale?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
600
Toby held a garage sale to raise money to support friends who have lost their jobs.  Of all the items that he sold during the garage sale, three of the items he sold made up 75% of the total amount of sales money he earned.  He sold a treadmill for $100, a chest of drawers for half as much as he made for selling the treadmill, and he sold a television for three times what he earned for selling the treadmill.  What is the total sum of money, in dollars, that Toby made at the garage sale?
train