# Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?

##### 1 Answer

Julie weighs

#### Explanation:

Let's give Ted, Julie, and Mike their own variable:

Now let's turn each of the pieces of information into a math equation:

Ted weighs twice as much as Julie

Mike weighs three times as much as Julie

Together, they weigh 120 lbs

We can now substitute the first two equations into the last one, and solve it for Julie's weight:

Julie weighs

Now put

Ted weighs

Last step! Put

Mike weighs