Problem Solving

Of a group of people surveyed in a political poll, 60 percent said that they would vote for candidate R. Of those who said they would vote for R, 90 percent actually voted for R, and of those who did not say that they would vote for R, 5 percent actually voted for R. What percent of the group voted for R?

In each production lot for a certain toy, 25 percent of the toys are red and 75 percent of the toys are blue. Half the toys are size A and half are size B. If 10 out of a lot of 100 toys are red and size A, how many of the toys are blue and size B?

How many two-digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6?

In a student body the ratio of men to women was 1 to 4. After 140 additional men were admitted, the ratio of men to women became 2 to 3. How large was the student body after the additional men were admitted?

When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.5 centimeter. The actual diameter of the tissue, in centimeters, is

How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 25 percent alcohol?

An even number x divided by 7 gives some quotient plus a remainder of 6. Which of the following, when added to x, gives a sum which must be divisible by 14?

When the integer n is divided by 6, the remainder is 3, Which of the following is NOT a multiple of 6?

A right cylindrical container with radius 2 meters and height 1 meter is filled to capacity with oil. How many empty right cylindrical cans, each with radius 1/2 meter and height 4 meters, can be filled to capacity with the oil in this container?

During week 1, revenue from eggs provided what percent of the total revenue for Store X?

Three types of pencils, J, K, and L, cost $0.05,$0.10, and $0.25each,respectively.Ifaboxof32ofthesepencilscostsatotalof$3.40 and if there are twice as many K pencils as L pencils in the box, how many J pencils are in the box?

A man who died left an estate valued at $111,000.Hiswillstipulatedthathisestatewastobedistributedsothateachofhisthreechildrenreceivedfromtheestateandhispreviousgifts,combined,thesametotalamount.Ifhehadpreviouslygivenhisoldestchild$15,000, his middle child $10,000,andhisyoungest$2,000, how much did the youngest child receive from the estate?

How many integers n greater than 10 and less than 100 are such that, if the digits of n are reversed, the resulting integer is n+9 ?

0.025 * (7.5) * 48) 5 * 0.0024 * (3 / 4) 0.025 * (7.5) * 48) 5 * 0.0024 * (3 / 4)

In the addition problem above, the number * must be?

A 5-liter jug contains 4 liters of a saltwater solution that is 15 percent salt. If 1.5 liters of the solution spills out of the jug, and the jug is then filled to capacity with water, approximately what percent of the resulting solution in the jug is salt?

If an organization were to sell n tickets for a theater production, the total revenue from ticket sales would be 20 percent greater than the total costs of the production. If the organization actually sold all but 5 percent of the n tickets, the total revenue from ticket sales was what percent greater than the total costs of the production?

A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount?

496 − − − √ 4 is between

What is the area of the region enclosed by the figure above?