Word Problems

A car dealer sold x used cars and y new cars during May. If the number of used cars sold was 10 greater than the number of new cars sold. Which of the following expresses this relationship ?

If Sam were twice as old as he is, he would be 40 years older than Jim. If Jim is 10 years younger than Sam, how old is Sam?

Diana bought a stereo for $530, which was the retail price plus a 6 percent sales tax. How much money could she have saved if she had bought the stereo at the same retail price in a neighboring state where she would have paid a sales tax of 5 percent?

In 1990 a total of x earthquakes occurred worldwide, some but not all of which occurred in Asia. If m o f these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?

Two hundred gallons of fuel oil are purchased at $0.91pergallonandareconsumedatarateof$0.70 worth of fuel per hour. At this rate, how many hours are required to consume the 200 gallons of fuel oil?

A soccer team played 25% more matches year-on-year in the second year of its formation. It won 84% of the matches it played in the second year, which was an improvement of 5% over the percentage of matches won in the first year. In the third year, the team played 4% fewer matches year-on-year but lost only 12.5% of the matches it played, which was one less than the number of matches lost by the team in the second year. Which of the following statements must be correct? I. The team lost the same number of matches in the first yea and the second year II. The team won the same number of matches in the second year and the third year III. The team played five more matches in the third year than the first year

Four hours from now, the population of a colony of bacteria will reach 1.28 * 10 6 10 6 . If the population of the colony doubles every 4 hours, what was the population 12 hours ago?

If Jack had twice the amount of money that he has, he would have exactly the amount necessary to buy 3 hamburgers at $0.96apieceand2milkshakesat$1.28 apiece. How much money does Jack have?

The sum of the ages of Doris and Fred is y years. If Doris is 12 years older than Fred , how many years old will Fred be y years from now, in terms of y ?

Craig sells major appliances. For each appliance he sells, Craig receives a commission of $50plus10percentofthesellingprice.DuringoneparticularweekCraigsold6appliancesforsellingpricestotaling$3,620. What was the total of Craig's commissions for that week?

Rene earns $8.50 per hour on days other than Sundays and twice that rate on Sundays. Last week she worked a total of 40 hours, including 8 hours on Sunday. What were her earnings for the week?

A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000andvariablecostsaveraging$8 per item. If the manufacturer's selling price per item is $15,howmanyitemsmustthemanufacturerproduceandselltoearnanannualprofitof$150,000 ?

Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If Q's share was $4,000, what was the total profit of the business partners for the year?

If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar?

At a certain pizzeria, 1/8 of the pizzas sold in one week were mushroom and 1/3 of the remaining pizzas sold were pepperoni. If n of the pizzas sold were pepperoni, how many were mushroom?

Members of a social club met to address 280 newsletters. If they addressed 1/4 of the newsletters during the first hour and 2/5 of the remaining newsletters during the second hour, how many newsletters did they address during the second hour?

In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?

A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1 1 2 times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 20 hours, 50 percent worked 40 hours, and the rest worked 50 hours?

One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50 percent of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?

Elena purchased Brand X pens for $4.00apieceandbrandYfor$2.80 apiece. If Elena purchased a total of 12 of these pens for $42.00, how many brand X pens did she purchase?