word problems
If John adds $100 to his bank account, the amount of money in his account will be $10 more than three times the money currently in the account. How much money is currently in the account?
45 dollars
What is 12% of 24 ?
2.88
The total weight of materials needed, in pounds, needed for a project can be modeled by the equation
r = 3(6x + 2y)r=3(6x+2y)
where x is equal to the number of bolts needed and y is equal to the number of screws needed. If 60 pounds of materials are needed to make a bike and 3 bolts are used, how many screws are used?
1
John’s final math grade is calculated by averaging five equally weighted tests. On John’s first four exams he scored a 90, 80, 70, and 75. What score must John earn on his final exam to average an 80 for the grading period?
85
Anne deposits $600 into an investment account. In the first year, the account grows by 20%. In the second year, the account grows by 5%. What is the value of Anne's investment at the end of the second year?
$756
In a sequence of 6 consecutive odd integers, the sum of the second and fourth integers is 9 less than 3 times the first integer. What is the third integer?
21
A class of 80 girls and 60 boys sponsored a car wash. If 40 percent of the girls and 30 percent of the boys got their cars washed, approximately what percent of the individuals in the class got their cars washed?
36%
An ice-cream truck driver’s monthly profit can be modeled by the equation p = 2k + m + 3np=2k+m+3n, where p is the monthly profit in dollars, kk is the number of ice-cream cones sold, mm is the number of ice-cream sandwiches sold, and n is the number of ice pops sold. What is the ice-cream truck driver’s monthly profit if he sells 200 ice-cream cones, 100 ice-cream sandwiches and 50 ice pops?
650
Four people each write a number from 1–100 on a card. If the average of the numbers on the cards is 60, two of the cards have the largest possible number, and one of the cards has the smallest possible number, what number is on the last card?
39
The admissions office at Smith University received 10,200 applications for fall 2012 admission. The University extended acceptance letters to 35% of these applicants, of whom 40% chose to attend. How many students chose to attend Smith University in the fall of 2012?
1,428
A coffee roaster purchased two types of coffee beans: Colombian beans that cost $2.50 per pound, and Kenyan beans that cost t times as much per pound as Colombian beans. If the cost of 10 pounds of Colombian beans and 15 pounds of Kenyan beans was $96.25, what is the value of t ?
1.9
16 is 125 percent of what number?
12.8
A tire company’s profit can be expressed by the equation x = 3z + 4y + 5r x=3z+4y+5r, where x is equal to the company’s profit in dollars, z is equal to the number of truck tires sold, y is equal to the number of car tires sold, and r is equal to the number of van tires sold. How many van tires were sold if the company’s profit was 100,000, the number of truck tires sold was 15,000, and the number of car tires sold was 10,000?
3000
In a list of 7 consecutive even integers the median is mm. If the smallest number is increased by 2 and the largest number is decreased by 8, what is the median?
m-2
The chart above shows the growth rate (in percentage) of a company's revenue over a five-year period. Positive values denote growing revenue, while negative numbers denote shrinking revenue. If the average growth rate of a company is calculated as the sum of growth rates for each year divided by the total number of years accounted for, what is the average growth rate for this company over the five-year period?
1
To conduct a water composition study on a river, scientists program a water sampling device to analyze 200 milliliters of river water every 3 hours for 30 days. How many milliliters of water would be analyzed in a 36-hour period?
2,400 milliliters
If y is 100 percent more than x, what is the value of y when x = 13.5?
27
The average amount of time, in hours, needed to paint a car at an autobody shop can be modeled by the equation r=2x+3y/z, where x is equal to the number of hours spent painting the car white, y is the number of hours spent spraying the car, and z is the number of cars painted. What is x equal to in terms of r, y, and z?
rz-3y/2
In the set{2,4,7,2,8,9,5,9,3} what is the sum of all the modes?
11
If 4x^2/3 - 10=2, and if x must be a positive integer, what is a possible value of x?
3
Over a certain period, a copy machine made 10,966 copies. The machine copied at a rate of 20 copies per minute for the first 5.2 hours, and at a rate of 36 copies per minute for the remainder of the period. To the nearest tenth of an hour, for how many hours did the copy machine produce copies at a rate of 36 copies per minute?
2.2
In a shop, a certain shirt was given a price in October. Each month after that, the price of the shirt was 20 percent less than the price for the previous month. If the price of the shirt was P dollars in October, what was the price in December?
0.64P
The average number of hours needed to build a house can be modeled by the equation z= 4x+3y/5r , where x is equal to the number of hours spent assembling the foundation of the house and y is the number of hours assembling the walls. What is r equal to in terms of z, x, and y ?
4x+3y/5z
The average height of 22 trees in a grove is 43.1 feet. A researcher is curious what the average height is, measured in inches. Which of the following is the average once the height of each tree has been converted to inches? (Note: there are 12 inches in a foot.)
517.2 inches
To file his clients' federal and state tax returns, DeShawn charges a flat fee of $100 per client, plus a $75 per hour fee for each hour it takes him to complete the two returns. Which expression could be used to determine how much DeShawn earns from filing a given client's tax returns?
100 + 75t, where t is the number of hours