# List of Example Problems

### The problems in this list are approximately in order of difficulty,

Jane worked a 40 hour week at \$4.50 an hour. How much was her wage?

Working a 40 hour week at \$4.50 an hour with 5 hours of overtime at the same rate allows and employee to receive how much gross pay?

In the city of Canton, the real estate tax rate is 3.5 mils. What is the tax on a \$80,000 property?

Joan, John and Jane work for the ABC company. Joan worked a 40 hour week at \$5.40 an hour. John worked 32 hours for \$6.80 an hour and Jane worked 37.5 hours. She earns \$6.25 and hour. What was ABC's payroll for the week?

The XYZ company received a large order for widgets. As a result Mary had to work 6.5 hours of overtime. Mark worked 5 hours of overtime and Martin worked 8. They all worked a normal 40 hour week in addition. Mary earns \$5.50 and hour, Mark \$4.75 and Martin \$6.00. Because the order was very profitable, they all earned extra overtime pay of \$2.10 an hour. Thus Mary got \$7.60, Mark got \$6.85, and Martin got \$8.10 an hour for overtime. What is the XYZ's payroll for the week?

John wants to purchase an item that costs \$35.00. If the sales tax rate is 6 percent, determine the sales tax and the total cost of the purchase.

Mary got 8 question wrong on a 35 question quiz. What was her percent right on the quiz?

An employee receives a 20% discount. What is the cost of an item that retails for \$22.95.

The price of gold went from \$480 per ounce to \$530. What was the percent of the increase?

A department store takes an item that costs \$32.50 at wholesale and retails it for \$50. What is the percent of the mark up?

An employee works 40 hours a week at \$6.25 an hour. If he has a 25% deduction, how much is his net pay?

A meal cost \$38.50. How much is the total cost if a 15% tip is included?

A coal mine yields 460 tons of coal every two days. How much coal is produced in five days?

A water pump ejects 650 gallons every three hours. How long would it take to eject 325 gallons?

A forty-eight mile trip takes 30 minutes. How long would a seventy-two mile trip take traveling at the same speed?

A two carat diamond costs eighteen hundred dollars. How much would a similar diamond of 2/3 carat cost?

A tetter totter has 105 pounds on one side at 4.4 feet. How many pounds are needed at 5 feet on the other side to balance it?

With an outside pressure of 34 psi, a baloon has a volumn of 42 cubic feet. What is its volume with an outside pressure of 28 psi?

An 8 inch pulley turning at 125 prm drives a 5 inch pulley. What is the speed of the 5 inch pulley?

Mary does a job in 6 days while Sam does it in 8 days. How long does it take them to do the job together?

Thirty quarters and nickels have a value of \$5.50. How many of each?

Two hundred and eighty tickets were sold for a soccer game for a total of \$240. Adults tickets cost \$1.50 and student tickets cost \$.50. How many of each type were sold?

A portion of an 80% solution is mixed with two liters of a 30% solution to form a 40% solution. How much of the 80% solution was used?

Joan takes a walk at 4 mph and then gets a ride back at 16 mph. The entire trip took 1/2 an hour. How far did Joan walk?

If a sixteen foot board is cut into two pieces of equal length, what is the length of each board?

An eighteen foot long board is to be cut into two pieces such that one piece is twice as long as the other. How long are both pieces?

A board seventeen feet long is cut into two pieces. One piece is three feet longer than the other. What is the length of each piece?

Nick and Harry's combined weight is 315 pounds. Harry is fifteen pounds heaver than Nick. How much does each weigh?

One supplementary angle is twenty-four degrees larger than the other. What is the size of each angle?

The larger of two numbers is four more than the smaller. Their quotient is two-thirds. Determine the two numbers.

The combined cost of a shirt and tie is \$26.00. The shirt costs \$8.00 less than the tie. How much does each cost?

If an angle is sixteen degrees less than its supplement, what is the size of each?

A nineteen foot board is cut into two pieces. One piece is four feet longer than twice the size of the other. Determine the length of each piece.

A watch and a ring together cost twenty-five dollars. The watch costs four dollars more than twice the price of the ring. How much does each cost.

The sum of two numbers is eleven. One number is two more than twice the other. What are the values of the numbers?

The sum of the digits of a two digit number is ten. The tens digit is four more than twice the units digit. What is the number.

Together a desk and a chair cost fifty-five dollars. The chair costs one dollar less than one-third of the desk. How much does each one cost?

The sum of two adjacent angles is fourty-two degrees. One angle is three degrees less than twice the other. Determine the value of each.

A twelve foot board is cut such that one piece is three feet shorter than half the length of the other. Determine the length of each piece.

One number is three more than one half the other. Their sum is twelve. What are the numbers?

The sum of three consecutive integers is twenty-one. Determine the value of the integers.

The angles of a triangle are such that one is twice as large as another while the third is twelve degrees less than the smaller. Determine all three angles.

The perimeter of a scalene triangle is 33 feet. One side is one half the length the largest side. The other side is 5 feet more than the smallest side. Determine all sides.

The perimeter of an isosceles triangle is 26 feet. The sides are seven feet longer than half of the base. Determine the length of all three sides.

The product of two numbers is thrity-two. One number is one half the other. Determine the two numbers.

The area of a triangle is fourteen square feet. The height is three feet longer than the base. What is the length of the base and height of the triangle?

The width of a rectangle is three feet less than half the length. The area is fifty-six square feet. Determine the perimeter.

The area of a circle is 33 pi square inches less than a circle with a radius one inch less than twice the first. What are the areas?

A collection of nickels and quarters have a value of \$2.40. There are three times as many quarters as nickels. How many of each type of coin?

A sack of cashews and pecans sells for \$6.25. The cashews sell for \$4.50 a pound and the pecans sell for \$3.50 a pound. How many pounds of each are in the sack?

Pete takes twice as long to do a job as Joe. Together it takes them 3 hours. How long would it take each one along?

Two boats took 3 hours to travel 129 miles in opposite directions. One boat travels 9 mph faster than the other. How far did each boat travel?

A slow train leaving at 5 AM and traveling at 30 mph is overtaken by a fast train leaving at 8 AM traveling at 40 mph. What distance did each travel?

Two meteors start 175,000 miles apart and collide after five minutes. One travels at 2/3 the speed of the other. How far did each travel?

The units digit of a number is six more than the tens digit. The sum of the number and its digits is twenty-five. What is the number?

A twelve mile trip takes 2 hours upstream but only one hour downstream. What is the speed of the current and the boat?

At a local store, three shirts and two ties cost \$69, while 2 shirts and 4 ties cost \$66. How much does each shirt and tie cost?

At a road side stand, 6 tomatoes and 2 melons cost \$4.40 while 4 tomatoes and 4 melons cost \$6.40. How much do tomatoes and melons cost separately?

The sum of two numbers is 13. The product of the two numbers equals thrity-six. What are the numbers?

A sack is full of \$5 and \$10 bills. There are twice as many \$5s as \$10s. But there are 3 fewer \$10s than \$5s. How many of each?

A jar contains red and white marbles. There are one third as many red as white marbles, while there are two more white marbles than red. How many of each?

The sum of the digits of a two digit number is six. Interchange the digits and the new number is 18 less than the old number. What is the number?

Ann is fifteen years older than Joe. Ten years from now, Ann will be twice as old as Joe. How old is each now?

Now John is two-thirds as old as Jane. Seven years ago, John was half as old as Jane. How old was each then?

Tom is one-fourth as old as Sue. Eight years from now, Sue will be eighteen years older than Tom. How old is each now?

The length of a rectangle is twice the width. Increasing the length of the rectangle by 3 inches increases the area by 15 square inches. Determine both areas.

The radius of a cylinder is twice its height. Increasing the height by 2 inches increases the volume by 8 pi cubic inches. Determine both volumes.

If an angle is sixteen degrees less than its supplement, what is the size of each?

The sum of two adjacent angles is fourty-two degrees. One angle is three degrees less than twice the other. Determine the value of each.

The angles of a triangle are such that one is twice as large as another while the third is twelve degrees less than the smaller. Determine all three angles.

The perimeter of a scalene triangle is 33 feet. One side is one half the length the largest side. The other side is 5 feet more than the smallest side. Determine all sides.

The perimeter of an isosceles triangle is 26 feet. The sides are seven feet longer than half of the base. Determine the length of all three sides.

With an outside pressure of 34 psi, a baloon has a volume of 42 cubic feet. What is its volume with an outside pressure of 28 psi?

The radius of a sphere is one half another. The smaller sphere has a volume (7/48) pi cubic inches less than the larger. What are the volumes?