Word Problems

What was the range of the selling prices of the 30 wallets sold by a certain store yesterday? (1) 1/3 of the wallets had a selling price of $24 each. (2) The lowest selling price of the wallets was 1/3 the highest selling price of the wallets.

For a basic monthly fee of F yen, Noako's first cell phone allowed him to use a maximum of 420 minutes on calls during the month. Then, for each of x additional minutes he used on calls, he was charged M yen, making his total charge for the month T yen, where T = F + xM. What is the value of F? (1) Naoko used 450 minutes on calls the first month and the total charge for the month was 13,755 yen (2) Naoko used 400 minutes on calls the second month and the total charge for the month was 13,125 yen ID:

At a bakery, all donuts are priced equally and all bagels are priced equally. What is the total price of 5 donuts and 3 bagels at the bakery? (1) At the bakery, the total price of 10 donuts and 6 bagels is $12.90. (2) At the bakery, the price of a donut is $0.15 less than the price of a bagel.

Some computers at a certain company are Brand X and the rest are Brand Y. If the ratio of the number of Brand Y computers to the number of Brand X computers at the company is 5 to 6, how many of the computers are Brand Y? (1) There are 80 more Brand X computers than Brand Y computers at the company. (2) There is a total of 880 computers at the company.

Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L? (1) At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price. (2) At Store L the discount price is $5lessthantheregularstoreprice;atStoreMthediscountpriceis$6 less than the regular price.

Last year, if Arturo spent a total of $12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes? (1) Last year, the total amount that Arturo spent on his real estate taxes and home insurance was 33 1/3 percent of the amount that he spent on his mortgage payments. (2) Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on his mortgage payments and home insurance.

A telephone station has x processors, each of which can process a maximum of y calls at any particular time, where x and y are positive integers. If 500 calls are sent to the station at a particular time, can the station process all of the calls? (1) x = 600 (2) 100 < y < 200

A group consisting of several families visited an amusement park where the regular admission fees were ¥5,500 for each adult and ¥4,800 for each child. Because there were at least 10 people in the group, each paid an admission fee that was 10% less that the regular admission fee. How many children were in the group? (1) The total of the admission fees paid for the adults in the group was ¥29,700 (2) The total of the admission fees paid for the children in the group was ¥4,860 more than the total of the admission fees paid for the adults in the group.

Was the number of books sold at Bookstore X last week greater than the number of books sold at Bookstore Y last week? (1) Last week, more than 1,000 books were sold at Bookstore X on Saturday and fewer than 1,000 books were sold at Bookstore Y on Saturday (2) Last week, less than 20 percent of the books sold at Bookstore X were sold on Saturday and more than 20 percent of the books sold at Bookstore Y were sold on Saturday

Three roommates—Bela, Gyorgy, and Janos—together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly 1/3 of the total amount saved by all 3 roommates. What was the total amount saved for the trip by all 3 roommates? (1) Bela had a monthly income of $2,000. (2) Janos saved 1.5 times as much for the trip as Bela.

On June 1, Mary paid Omar $360 for rent and utilities for the month of June. Mary moved out early, and Omar refunded the money she paid for utilities, but not for rent, for the days in June after she moved out. How many dollars did Omar refund to Mary? (1) Mary moved out on June 24. (2) The amount Mary paid for utilities was less than 1/5 the amount Mary paid for rent.

A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture? (1) Exactly 20 quarts of the mixture are needed. (2) Exactly 10 quarts of the yellow paint are available.

Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ? (1) Jones has worked at Firm X 9 years longer than Smith. (2) Green has worked at Firm X 5 years less than Jones.

In a gas sample, there are, rounded to the nearest order of magnitude (that is, to the nearest power of 10), approximately 10 21 10 21 molecules of H 2 H 2 and also 10 21 10 21 molecules of O 2 O 2 . What is the combined number of H 2 H 2 and O 2 O 2 molecules in the gas sample, rounded to the nearest order of magnitude? (1) The number of H 2 H 2 molecules and the number of O 2 O 2 molecules are each less than 3 × 10 21 3 × 10 21 . (2) The number of H 2 H 2 molecules is more than twice the number of O 2 O 2 molecules.

The couple decide one day that they will definitely go to the beach the next evening if it is sunny without rain at the time they plan to go—and that they will definitely not go if such is not the case. The next morning, the hour-by-hour weather forecast says that in the evening, it will be sunny without rain. Will the couple go to the beach that evening? (1) It is raining on the morning and in the afternoon of the day of their planned beach outing. (2) The couple always believe that the weather forecast is likely to be accurate.

Beth's bank charges a service fee on a regular checking account for each month in which the balance on the account falls below $100 at any time during the month. Did the bank charge a service fee on Beth's regular checking account last month? (1) During last month, a total of $1,000 was withdrawn from Beth's regular checking account. (2) At the beginning of last month, Beth's regular checking account balance was $500.

What is the total number of executives at Company P? (1) The number of male executives is 3 5 3 5 the number of female executives. (2) There are 4 more female executives than male executives.

A clothing manufacturer makes jackets that are wool or cotton or a combination of wool and cotton. The manufacturer has 3,000 pounds of wool and 2,000 pounds of cotton on hand. Is this enough wool and cotton to make at least 1,000 jackets? (1) Each wool jacket requires 4 pounds of wool, and no cotton (2) Each cotton jacket requires 6 pounds of cotton, and no wool

Last summer, as with every summer, Oshin and Reena made exactly one long trip together to a town neither of them had visited before. For their long summer trips, Oshin and Reena have always chosen to visit a town that Reena would have liked to visit—unless Oshin had been to that town before. Reena had visited Town F and Town G before—and Oshin had never visited Town J or Town K. Did Oshin and Reena visit one of these four towns last summer? (1) Reena had never visited Town J and Oshin had never visited Town F. (2) Oshin would have liked to visit either Town G or Town K.

Last year, in a certain housing development, the average (arithmetic mean) price of 20 new houses was $160,000. Did more than 9 of the 20 houses have prices that were less than the average price last year? (1) Last year the greatest price of one of the 20 houses was $219,000. (2) Last year the median of the prices of the 20 houses was $150,000.