Katie walks a total distance of 24 blocks

Question

Katie walks a total distance of 24 blocks from school to her house. Andrea walks half as far as Katie to get to her house. Rob lives three-fourths of the distance between andrea's house and katie's house. How many blocks is Rob's house from school.

Answer 1

Hi Amber, Katie's house is 24 blocks from school. Andrea's house is 1/2 of 24 blocks (Katie's distance from school) or 12 blocks from school.

 

Rob lives between Katie and Andrea. The difference between Katie and Andrea is 12 blocks. Rob lives 3/4's the distance between Andrea (closer to school) and Katie (further from school). 

 

3/4 * 12 = 9

 

Rob lives 9 + 12 (Andrea's distance to school) or 21 blocks from school.

 

Questions?

Answer 2

Hi Amber! First, define what you know from the problem:

 

K = 24

 

A = 1/2(K) 

 

R = 3/4*(K-A)

 

It might look a little complicated written this way, just remember, you know exactly what all of those things mean from the information provided in the problem.

 

Now, you can solve for A by plugging 24 in for K. A = 1/2(24), A = 12

 

Then, find the final answer by plugging K and A into R = 3/4*(K-A)