Word Problems

Currently there are 50 picture books on each shelf in the children's section of a library. If these books were to be placed on smaller shelves with 30 picture books on each shelf, how many of the smaller shelves would be needed to hold all these books? (1) The number of smaller shelves needed is 6 more than the current number of shelves. (2) Currently there are 9 shelves in the children's section.

The figure above represents the floor plan of an art gallery that has a lobby and 18 rooms. If Lisa goes from the lobby into room A at the same time that Paul goes from the lobby into room R, and each goes through all of the rooms in succession, entering by one door and exiting by the other, which room will they be in at the same time ? (1) Lisa spends 2x minutes in each room and Paul spends 3x minutes in each room. (2) Lisa spends 10 minutes less time in each room than Paul does. Show Spoiler

A citrus fruit grower receives $15foreachcrateoforangesshippedand$18 for each crate of grapefruit shipped. How many crates of oranges did the grower ship last week? (1) Last week the number of crates of oranges that the grower shipped was 20 more than twice the number of crates of grapefruit shipped. (2) Last week the grower received a total of $38,700 from the crates of oranges and grapefruit shipped.

The charge for a telephone call between City R and City S is $0.42foreachofthefirst3minutesand$0.18 for each additional minute. A certain call between these two cities lasted for x minutes, where x is an integer. How many minutes long was the call? (1) The charge for the first 3 minutes of the call was $0.36 less than the charge for the remainder of the call. (2) The total charge for the call was $2.88.

If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female? (1) 2/3 of the students in Section 1 are female. (2) 1/2 of the students in Section 2 are male.

If Sara's age is exactly twice Bill's age, what is Sara's age? (1) Four years ago, Sara's age was exactly 3 times Bill's age. (2) Eight years from now, Sara's age will be exactly 1.5 times Bill's age.

The table above shows the cancellation fee schedule that a travel agency uses to determine the fee charged to a tourist who cancels a trip prior to departure. If a tourist canceled a trip with a package price of $1,700 and a departure date of September 4, on what day was the trip canceled? (1) The cancellation fee was $595. (2) If the trip had been canceled one day later, the cancellation fee would have been $255 more. Show Spoiler

If Pat saved $600 of his earnings last month, how much did Pat earn last month? (1) Pat spent 1/2 of his earnings last month for living expenses and saved 1/3 of the remainder. (2) Of his earnings last month, Pat paid twice as much in taxes as he saved.

If p1 and p2 are the populations and r1 and r2 are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts? (1) p1>p2 (2) r2>r1

During a 6·day local trade show, the least number of people registered in a single day was 80. Was the average (arithmetic mean) number of people registered per day for the 6 days greater than 90 ? (1) For the 4 days with the greatest number of people registered, the average (arithmetic mean) number registered per day was 100. (2) For the 3 days with the smallest number of people registered, the average (arithmetic mean) number registered per day was 85.

Are all of the numbers in a certain list of 15 numbers equal? (1) The sum of all the numbers in the list is 60. (2) The sum of any 3 numbers in the list is 12.

A certain high school with a total enrollment of 900 students held a science fair for three days last week. How many of the students enrolled in the high school attended the science fair on all three days? (1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days. (2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days.­ Show Spoiler ­

A number of people each wrote down one of the first 30 positive integers. Were any of the integers written down by more than one of the people? (1) The number of people who wrote down an integer was greater than 40. (2) The number of people who wrote down an integer was less than 70.

As a salesperson, Phyllis can choose one of two methods of annual payment: either an annual salary of $35,000withnocommissionoranannualsalaryof$10,000 plus a 20 percent commission on her total annual sales. What must her total annual sales be to give her the same annual pay with either method?

Each week, a clothing salesperson receives a commission equal to 15 percent of the first $500insalesand20percentofalladditionalsalesthatweek.Whatcommissionwouldthesalespersonreceiveontotalsalesfortheweekof$1,300 ?

The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5. As a result of the gift, Kaye had how many more stamps than Alberto

Over the past 7 weeks, the Smith family had weekly grocery bills of $74,$69, $64,$79, $64,$84, and $77. What was the Smiths' average (arithmetic mean) weekly grocery bill over the 7-week period?

Each year for 4 years, a farmer increased the number of trees in a certain orchard by one fourth of the number of trees in the orchard the preceding year. If all the trees thrived and there were 6,250 trees in the orchard at the end of the 4-year period, how many trees were in the orchard at the beginning of the 4-year period?

At his regular hourly rate, Don had estimated the labor cost of a repair job as $336andhewaspaidthatamount.However,thejobtook4hourslongerthanhehadestimatedand,consequently,heearned$2 per hour less than his regular hourly rate. What was the time Don had estimated for the job, in hours?

On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between