Problem Solving

Three stacks containing equal numbers of chips are to be made from 9 red chips, 7 blue chips, and 5 green chips. If all of these chips are used and each stack contains at least 1 chip of each color, what is the maximum number of red chips in any one stack?

Forty percent of the rats included in an experiment were male rats. If some of the rats died during the experiment and 30 percent of the rats that died were male rats, what was the ratio of the death rate among the male rats to the death rate among the female rats?

There are between 100 and 110 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?

Of the following, which best approximates: (0.1667) (0.8333) (0.3333) (0.2222) (0.6667) (0.1250) ?

Bottle R contains 250 capsules and costs $\mathrm{6.25.}BottleTcontains130capsulesandcosts$2.99. What is the difference between the cost per capsule for bottle R and the cost per capsule for bottle T?

What is the average (arithmetic mean) of the numbers 15, 16, 17, 17, 18, and 19?

Working independently, Tina can do a certain job in 12 hours. Working independently, Ann can do the same job in 9 hours. If Tina works independently at the job for 8 hours and then Ann works independently, how many hours will it take Ann to complete the remainder of the job?

If y > 0 , which of the following is equal to √ 48 y 3 − − √ ?

Of the following, which is closest to 0.15 * 495 9.97 ?

Over the last three years a scientist had an average (arithmetic mean) yearly income of $45,000. The scientist earned 1 1 2 times as much the second year as the first year and 2 1 2 times as much the third year as the first year. What was the scientist's income the second year?

A grocer purchased a quantity of bananas at 3 pounds for $0.50andsoldtheentirequantityat4poundsfor$1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $10.00?

If taxi fares were $1.00forthefirst1/5mileand$0.20 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was?

If r ☉ s = r s + r + s , then for what value of s is r ☉ s equal to r for all values of r ?

If x and y are integers and x y = 5 , then (x + y) 2 =

A man drove his automobile d 1 kilometers at the rate of r 1 kilometers per hour and an additional d 2 kilometers at the rate of r 2 kilometers per hour. In terms of d 1 , d 2 , r 1 , and r 2 , what was his average speed, in kilometers per hour, for the entire trip?

The price of a model M camera is $209andthepriceofaspeciallensis$69. When the camera and lens are purchased together, the price is $239. The amount saved by purchasing the camera and lens together is approximately what percent of the total price of the camera and lens when purchased separately?

A student responded to all of the 22 questions on a test and received a score of 63.5. If the scores were derived by adding 3.5 points for each correct answer and deducting 1 point for each incorrect answer, how many questions did the student answer incorrectly?

If x < 0 , which of the following is NOT necessarily true?

1 2 (3 4 2 3) 2 9 =

At a certain bowling alley, it costs $0.50torentbowlingshoesforthedayand$1.25 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?