Word Problems

If the cost of 12 eggs varies between $0.90and$1.20, and the cost of 5 sandwiches varies between $10and$15, then the cost of 4 eggs and 3 sandwiches varies between

Salesperson A's compensation for any week is $360plus6percentoftheportionof{A}^{\prime }stotalsalesabove$1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 75 bricks in the wall, how many bricks does the bottom row contain ?

During the first week of September, a shoe retailer sold 10 pairs of a certain style of oxfords at $35apair.If,duringthesecondweekofSeptember,15pairsweresoldatthesalepriceof$ 27.50 a pair, by what amount did the revenue from weekly sales of these oxfords increase during the second week?

During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 120 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?

The cost of picture frame M is $10.00lessthan3timesthecostofpictureframeN.IfthecostofframeMis$50.00, what is the cost of frame N ?

Marion rented a car for $18.00plus$0.10 per mile driven. Craig rented a car for $25.00plus$0.05 per mile driven. If each drove d miles and each was charged exactly the same amount for the rental, then d equals

If a compact disc that usually sells for 12.95$isonsalefor9.95$, then the percent decrease in price is closest to?

The number of coronary-bypass operations performed in the United States increased from 13,000 in 1970 to 191,000 in 1983. What was the approidmate percent increase in the number of coronary-bypass operations from 1970 to 1983 ?

An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour, beginning at 8:00 a.m., and arrives at Airport B 2 1 2 hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m., and arrives at Airport C 1 1 6 ​​​​​​​ hours later. The third flight leaves Airport C every hour, beginning at 8:45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules?

A tourist purchased a total of $1,500worthoftraveler\hat{a}€™schecksin$10 and $50denominations,Duringthetripthetouristcashed7checksandthenlostalloftherest.Ifthenumberof$10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?

A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer an incorrect amount of change. If the cash register contained 45 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?

Today, Anna is 10 years older than Michelle. If fifteen years ago, Anna was twice as old as Michelle, how old is Michelle today?

For a light that has an intensity of 60 candles at its source, the intensity in candles, S, of the light at a point d feet from the source is given by the formula S = 60 k d 2 , where k is a constant. If the intensity of the light is 30 candles at a distance of 2 feet from the source, what is the intensity of the light at a distance of 20 feet from the source?

A factory that employs 1,000 assembly-line workers pays each of these workers $6 per hour for the first 35 hours worked during a week and 1.25 times that rate for hours worked in excess of 35. What was the total payroll for the assembly line workers for a week in which 60 percent of them worked 20 hours, 30 percent worked 40 hours, and the rest worked 50 hours?

Reggie purchased a car costing $8,700.Asadownpaymentheuseda$2,300 insurance settlement and an amount from his savings equal to 15 percent of the difference between the cost of the car and the insurance settlement. If he borrowed the rest of the money needed to purchase the car, how much did he borrow?

An optometrist charges $150perpairforsoftcontactlensesand$85 per pair for hard contact lenses. Last week she sold 5 more pairs of soft lenses than hard lenses. If her total sales for pairs of contact lenses last week were $1,690, what was the total number of pairs of contact lenses that she sold?

How many bits of computer memory will be required to store the integer x, where x = - √ 810 , 000 − − − − √ if each digit requires 4 bits of memory and the sign of x requires 1 bit?

Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 18,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?

Mr. Hernandez, who was a resident of State X for only 8 months last year, had a taxable income of $22,500 for the year. If the state tax rate were 4 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?