Question

Solve this problem on paper using all four steps.

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?

Julie weighs pounds, Ted weighs pounds, and Mike weighs pounds.

Answer 1

Answer:

Julie weighs 35 lbs, Ted weighs 70 lbs, Mike weighs 105 lbs.

Step-by-step explanation:

Let the weight of Julie be $x$

Given:

Ted weighs twice as much as Julie

Weight of Ted = $2x$

Mike weighs three times as much as Julie.

Weight of Mike = $3x$

Together, Ted, Mike, and Julie weigh 210 lbs.

$x+2x+3x=210$

Solving above we get;

$6x=210\\x=\frac{210}{6}=35\ lbs$

Hence Julie weight is 35 lbs.

Weight of Ted = $2x=2\times 35 = 70 \ lbs$

Hence Ted weight is 70 lbs.

Weight of Mike = $3x=3\times 35 = 105 \ lbs$

Hence Mike weight is 105 lbs.

Answer 2

Answer:

Julie weighs 35 lbs, Ted weighs 70 lbs, Mike weighs 105 lbs.

I hope this helps you