Question

Lexie wanted to have a heel-toe race with her older brother, Josh, and her sister, Hannah. She said, “My feet are smaller, so I should only have to go a shorter distance than you two.” Her sister said, “That makes sense - let’s race our ages.” They measured off 7 feet for Lexie’s track, 16 feet for Josh’s track and 10 feet for Hannah’s track. “Now let’s measure our shoes,” said Josh. “My shoe is 1/2 of a foot,” said Lexie. “Three of my shoes add up to 2 feet,” said Hannah. Josh said his shoe was exactly a foot long.

Who needs to take the fewest steps to walk his or her track? Explain how you found your answer.

How many more steps do the two others need to take to finish their races?

Answer 1

Lexie needs to take the fewest steps to walk her track - 14 steps. Josh needs to take 2 more steps, and Hannah needs to take 16 more steps to finish their races.

Step-by-step explanation:

Lexie needs to take the fewest steps to walk her track because her track is the shortest distance.

Her track measures 7 feet, whereas Josh's track measures 16 feet and Hannah's track measures 10 feet.

Since Lexie's shoe is 1/2 of a foot, she will only need to take 14 steps to complete her track. Josh's shoe is 1 foot long, so he will need to take 16 steps.

Hannah's shoe is 1/3 of a foot, so she will need to take 30 steps to finish her track.

Therefore, Lexie needs to take the fewest steps to walk her track.

The two others need to take the following number of steps to finish their races:
Josh: 16 - 14 = 2 steps
Hannah: 30 - 14 = 16 steps
So, Josh needs to take 2 more steps, and Hannah needs to take 16 more steps to finish their races.