1. A motel clerk counts his $1 and $10  bills at the end of the day. He finds that he has a total of 48  
bills having a combined monetary value of $138. Find the number of bills of each denomination that he has.

How many ones and tens does the  clerk have?

 

2. Christine went shopping and bought each of her 6  
nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $95.49 on the gifts. How many videos and how many CD's did she buy?

How many videos and and CD's were bought?

 

3. Solve the following problem using a system of equations.
How many pounds of nuts selling for $12 per lb and raisins selling for $6 per lb should a person combine to obtain 60 lb of a trail mix selling for $8 per lb?
How many lb of nuts would the person need selling for $12?
How many lb of raisins would the person need selling for $6?

 

4. At the beginning of a walk, Roberto and Juanita are 5.5 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards each other, they meet in 1 hr. What are their speeds?
Roberts?

Juanita's?

 

5. A boat takes 4 hrs to go 16 miles upstream. It can go 32 miles downstream in the same time. Find the rate of the current and the rate of the boat in still water. (Hint: Because the current pushes the boat when it is going downstream, the rate of the boat downstream is the sum of the rate of the boat and the rate of the current. The current slows down the boat when it is going upstream, so the rate of the boat upstream is the difference of the rate of the boat and the rate of the current.)
The rate of the current is how many miles per hour?

 

6. If a plane can travel 480 miles per hour with the wind and 440 miles per hour against the wind, find the speed of the plane in still air. What is the speed of the plane in still air miles per hour?