Representative Basic Arithmetic Flashcards

What percentage of 500 is 65?

Answer: 13

Explanation: To find out what percentage of 500 is 65, you can use the following formula: percentage = (part/whole) x 100 In this case, the "part" is 65, and the "whole" is 500. So, the formula becomes: percentage = (65/500) x 100 Simplifying the equation: percentage = 0.13 x 100 = 13% Therefore, 65 is 13% of 500.

What percentage of the 148 reams of paper that a department bought are left after 43 of them are used? Round your percentage answer to the nearest whole.

Answer: 71%

Explanation: To find the percentage of paper reams left after 43 of them are used, we first need to subtract the number of reams used from the total number of reams bought: 148 - 43 = 105 So there are 105 reams of paper left. To find the percentage of reams left, we can use the following formula: percentage = (part/whole) x 100 In this case, the "part" is the number of reams left (105), and the "whole" is the number of reams bought (148). So, the formula becomes: percentage = (105/148) x 100 = 70.95% Rounding to the nearest whole number, we get: percentage = 71% Therefore, approximately 71% of the reams of paper that the department bought are left after 43 of them are used.

What is one-fourth of Jack's weekly income if two-thirds of it is $480?

Answer: $180

Explanation: Let's start by setting up an equation to represent the information given in the problem: (2/3) * Jack's weekly income = $480 To solve for Jack's weekly income, we can isolate the variable by dividing both sides of the equation by 2/3: Jack's weekly income = $480 / (2/3) = $480 * (3/2) = $720 Now that we know Jack's weekly income is $720, we can find one-fourth of it by multiplying by 1/4: One-fourth of Jack's weekly income = $720 * (1/4) = $180 Therefore, one-fourth of Jack's weekly income is $180.

A tool room that was 9' x 15' was expanded to 11' x 20'. How much extra floor space was added, in square feet?

Answer: 85 square feet

Explanation: The original tool room had an area of: 9 feet x 15 feet = 135 square feet The expanded tool room has an area of: 11 feet x 20 feet = 220 square feet To find out how much extra floor space was added, we can subtract the original area from the expanded area: 220 square feet - 135 square feet = 85 square feet Therefore, 85 square feet of extra floor space was added to the tool room.

A production line employed 305 workers in July. Thirty workers quit in August, while 11 new ones were hired. There were 23 new hires and 9 resignations in September. 17 new staff were employed in October. How many people were working there as of November 1st?

Answer: 317

Explanation: Let's start with the number of workers at the end of July, which is given as 305. In August, the number of workers changed by: -30 (workers who quit) + 11 (new hires) = -19 So at the end of August, there were 305 - 19 = 286 workers. In September, the number of workers changed by: 23 (new hires) - 9 (resignations) = 14 So at the end of September, there were 286 + 14 = 300 workers. In October, the number of workers changed by: 17 (new hires) = 17 So at the end of October, there were 300 + 17 = 317 workers. Therefore, as of November 1st, there were 317 workers employed on the production line.

Each of the 18 workers at a social services agency is in charge of managing a 360-case caseload. The caseload of three departing employees is divided equally among the remaining staff members. How many cases are currently under the maintenance of each of the remaining employees?

Answer: 432

To solve this, first calculate the total cases from the three departing employees (3 workers * 360 cases/worker = 1080 cases). Next, determine the number of remaining staff members (18 - 3 = 15 employees). Finally, divide the departing employees' cases equally among the remaining staff (1080 cases / 15 employees = 72 cases per person) and add this to their original caseload (360 + 72 = 432 cases).