Problems of the Week - April 5 to April 10

Rewards for Problems of the week:

5 points for the correct answer at your level; 10 points for the next level; 20 points each for 2+ levels up.

 Lower Elementary:

Question: Grace, Ruby, and James volunteer to walk shelter dogs. Grace walks half as many dogs as Ruby, who walks 5 more dogs than James. James walks 9 dogs. How many dogs did Grace walk?

Upper Elementary: 

Question: Spot the dog likes to bury bones in the backyard. On Friday, he buried half of his bones. On Saturday, he dug up ³/₄ of the bones he buried the day before. If spot started with 72 bones on Friday, then how many bones did he dig up on Saturday?

Middle School: 

Question: Daniel and his sister Chloe are training their neighbors’ dog. Daniel teaches the dog to sit and speak. Chloe teaches the dog to lie down, roll over, and fetch. They are paid for each trick they teach the dog and get a total of $80. How should they split the money?

 Algebra and Up:

Question: A dog run is three times as long as it is wide. If its perimeter is 104 feet, what is the area of the dog run?

Challenge problem to take home. 20 points for the correct answer. 

Paul and Robert are preparing a present for their brother's birthday. If they work together, it'll take them $$\SI{4}{\hour}$4\text{h}$ to finish. If, on the other hand, Paul makes half of the gift and they prepare the other half together, they'll need $$\SI{5}{\hour}.$5\text{h}.$ How much time would Robert need if he was working alone?