Problem Solving

In Town X, 64 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town X are females?

If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?

John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?

The water from one outlet, flowing at a constant rate, can fill a swimming pool in 9 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 5 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?

Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts?

If 4 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?

If Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?

A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6:5:2, respectively, by weight. If 39 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?

In a certain district, the ratio of the number of registered Republicans to the number of registered Democrats was 3/5. After 600 additional Republicans and 500 additional Democrats registered, the ratio was 4/5. After these registrations, there were how many more voters in the district registered as Democrats than as Republicans?

Which of the following describes all values of x for which 1 − x 2 ≥ 0 ?

Of the five coordinates associated with points A, B, C, D, and E on the number line above, which has the greatest absolute value?

If 0.0015 * 10 m 0.03 * 10 k = 5 * 10 7 , then m - k =

If x + 5 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?

The positive integer n is divisible by 25. If √ n n √ is greater than 25, which of the following could be the value of n/25 ?

How many integers n are there such that 1< 5n +5 < 25?

If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

If 1 + 1/x = 2 - 2/x, then x =

If the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 5, what is the ratio of apples to cucumbers?

Lois has x dollars more than Jim has, and together they have a total of y dollars. Which of the following represents the number of dollars that Jim has?

In a weight-lifting competition, the total weight of Joe's two lifts was 750 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?