Word Problems

There are 4 more women than men on Centerville's board of education. If there are 10 members on the board, how many are women?

A project scheduled to be carried out over a single fiscal year has a budget of $12,600,dividedinto12equalmonthlyallocations.Attheendofthefourthmonthofthatfiscalyear,thetotalamountactuallyspentontheprojectwas$4,580. By how much was the project over its budget?

A part-time employee whose hourly wage was increased by 25 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?

This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he has available to spend will be equal to half the amount that he spends this year?

Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?

The table above shows the number of students in three clubs at McAuliffe School. Although no student is in all three clubs, 10 students are in both chess and drama, 5 students are in both chess and math, and 6 students are in both drama and math. How many different students are in the three clubs?

A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of $38.00,andonTuesdaythestoresold20mapsand15booksforatotalof$60.00. At this store, how much less does a map sell for than a book?

According to a car dealer's sales report, 1/3 of the cars sold during a certain period were sedans and 1/5 of the other cars sold were station wagons. If N station wagons were sold during that period, how many sedans, in terms of N, were sold?

A certain company retirement plan has a "rule of 70" provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 32nd birthday first be eligible to retire under this provision?

If stock is sold three months after it is purchased, the formula above relates p, d, s, and r, where p is the purchase price of the stock, d is the amount of any dividend received, s is the selling price of the stock, and r is the yield of the investment as a percent. If Rose purchased $400worthofstockreceiveda$5 dividend and sold the stock for $420, for three months after purchasing it, what was the yield of her investment, according to the formula? (Assuming she paid no commissions.)

A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90perunitandalloftheproducedunitsaresoldeachmonth.Whatistheminimumsellingpriceperunitthatwillensurethatthemonthlyprofit(revenuefromsalesminusthemanufacture{r}^{\prime }scosttoproduce)onthesalesoftheseunitswillbeatleast$42,000?

A poll reveals that the average (arithmetic mean) income of 10 households is $25,000.If6ofthehouseholdshaveincomesof$30,000 each, what is the average income of the other 4 households?

A company accountant estimates that airfares next year for business trips of a thousand miles or less will increase by 20 percent and airfares for all other business trips will increase by 10 percent. This year total airfares for business trips of a thousand miles or less were $9,900andairfaresforallotherbusinesstripswere$13,000. According to the accountant's estimate, if the same number of business trips will be made next year as this year, how much will be spent for airfares next year?

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?