Word Problems

Do at least 60 percent of the students in Pat’s class walk to school? (1) At least 60 percent of the female students in Pat’s class walk to school. (2) The number of students in Pat’s class who walk to school is twice the number of students who do not walk to school.

For a certain car repair, the total charge consisted of a charge for parts, a charge for labor, and a 6 percent sales tax on both the charge for parts and the charge for labor. If the charge for parts, excluding sales tax, was $50.00, what was the total charge for the repair? (1) The sales tax on the charge for labor was $9.60. (2) The total sales tax was $12.60.

Each gift certificate sold yesterday by a certain bookstore cost either $10or$50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore? (1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. (2) The total cost of gift certificates sold yesterday by the bookstore was $460.

The average (arithmetic mean) price of the 3 items that Kate purchased from a clothing store was $50.Iftherewasnosalestaxonanyitemthathadapriceoflessthan$80 and 6 percent sales tax on all other items, what was the total sales tax on the 3 items that Kate purchased? (1) The price of the most expensive item that Kate purchased from the store was $100. (2) The price of the least expensive item that Kate purchased from the store was $10.

The weights of all dishes of type X are exactly the same, and the weights of all dishes of type Y are exactly the same. Is the weight of 1 dish of type X less than the weight of 1 dish of type Y ? (1) The total weight of 3 dishes of type X and 2 dishes of type Y is less than the total weight of 2 dishes of type X and 4 dishes of type Y. (2) The total weight of 4 dishes of type X and 3 dishes of type Y is less than the total weight of 3 dishes of type X and 4 dishes of type Y.

In a random sample of 80 adults, how many are college graduates? (1) In the sample, the number of adults who are not college graduates is 3 times the number who are college graduates. (2) In the sample, the number of adults who are not college graduates is 40 more than the number who are college graduates.

A report consisting of 2,600 words is divided into 23 paragraphs. A 2-paragraph preface is then added to the report. Is the average (arithmetic mean) number of words per paragraph for all 25 paragraphs less than 120 ? (1) Each paragraph of the preface has more than 100 words. (2) Each paragraph of the preface has fewer than 150 words.

A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store's gross profit from the item was what percent of its cost for the item? (1) y - x = 20 (2) y/x = 5/4

A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department? (1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively. (2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads.

Mary persuaded n friends to donate $500eachtoherelectioncampaign,andtheneachofthesenfriendspersuadednmorepeopletodonate$500 each to Mary’s campaign. If no one donated more than once and if there were no other donations, what was the value of n? (1) The first n people donated 1/16 of the total amount donated. (2) The total amount donated was $120,000.

On a company-sponsored cruise, 2/3 of the passengers were company employees and the remaining passengers were their guests. If 3/4 of the company-employee passengers were managers, what was the number of company-employee passengers who were NOT managers? (1) There were 690 passengers on the cruise. (2) There were 230 passengers who were guests of the company employees.

If 90 students auditioned for the school musical, how many were accepted? (1) 2/3 of the boys and 1/3 of the girls who auditioned were accepted. (2) 26 of the boys who auditioned were accepted.

If the two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building? (1) Each step is 3/4 foot high. (2) Each step is 1 foot wide.

What was the revenue that a theater received from the sale of 400 tickets, some of which were sold at the full price and the remainder of which were sold at a reduced price? (1) The number of tickets sold at the full price was 1/4 of the total number of tickets sold. (2) The full price of a ticket was $25.

Joanna bought only $0.15stampsand$0.29 stamps. How many $0.15 stamps did she buy? (1) She bought $4.40 worth of stamps. (2) She bought an equal number of $0.15stampsand$0.29 stamps.

If Juan had a doctor's appointment on a certain day, was the appointment on a Wednesday? (1) Exactly 60 hours before the appointment, it was Monday. (2) The appointment was between 1:00 pm and 9:00 pm

Of the total number of copies of Magazine X sold last week, 40 percent were sold at full price. What was the total number of copies of the magazine sold last week? (1) Last week, full price for a copy of Magazine X was $1.50andthetotalrevenuefromfull-pricesaleswas$112,500. (2) The total number of copies of Magazine X sold last week at full price was 75,000. ID: 700316

The table above gives the number of calories and grams of protein per kilogram of foods S and T. If a total of 7 kilograms of S and T are combined to make a certain food mixture, how many kilograms of food S are in the mixture? (1) The mixture has a total of 12,000 calories. (2) The mixture has a total of 810 grams of protein.

What was John's average driving speed in miles per hour during a 15-minute interval? (1) He drove 10 miles during this interval. (2) His maximum speed was 50 miles per hour and his minimum speed was 35 miles per hour during this interval.

In a refinery, the capacity of oil tank A is 70 percent of the capacity of oil tank B. How many more gallons of oil are in tank A than in tank B? (1) Tank A is 90 percent full; tank B is 50 percent full (2) When full, tank A contains 50,000 gallons of oil