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Word Problems
Sub 505 (Easy)
Jonathan, Kyle, and Michael agreed to pay equal shares of the monthly rent on an apartment. Because Jonathan has a cat, he paid a 1-time pet deposit of 250.ThepetdepositandJonathana^sshareofthemonthlyrentforthefirstmonthtotaled525. How much is the monthly rent on the apartment?
555-605 (Medium)
A total of s oranges are to be packaged in boxes that will hold r oranges each, with no oranges left over. When n of these boxes have been completely filled, what is the number of boxes that remain to be filled?
505-555 (Easy)
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
505-555 (Easy)
Exchange Rates in a Particular Year
$1 = 5.3 francs
$1 = 1.6 marks
An American dealer bought a table in Germany for 480 marks and sold the same table in France for 2,385 francs. What was the dealer's gross profit on the two transactions in dollars?
Sub 505 (Easy)
Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?
Sub 505 (Easy)
Harry spent 25% of his $2,200 May take-home pay on rent and 30% of the remainder on food. How much of his May take-home pay did Harry spend on food?
505-555 (Easy)
Sam has 800inhisaccount.Hewilldeposit1 in his account one week from now, 2twoweeksfromnow,andeachweekthereafterhewilldepositanamountthatis1 greater than the amount that he deposited one week before. If there are no other transactions, how much money will Sam have in his account 50 weeks from now?
Sub 505 (Easy)
A dance troupe has a total of 50 dancers split into 2 groups. The costumes worn by Group A cost 80each,andthosewornbyGroupBcost90 each. If the total cost of all the costumes is $4,270, what is the total cost of the costumes worn by Group B ?
Sub 505 (Easy)
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?
555-605 (Medium)
The graph shows the number of computers assembled during each of 6 consecutive days. From what day to the next day was the percent change in the number of computers assembled the greatest in magnitude ?
Sub 505 (Easy)
ÂA certain method for calculating pediatric drug dosages states that if d is the adult dosage, in milligrams, and y is the childâs age, in years, then the childâs dosage, in milligrams, is d à (y + 1 24) . If the adult dosage for a particular drug is 800 milligrams, what is an 8-year-old childâs dosage, in milligrams, according to this method?
Sub 505 (Easy)
The regular price per can of a certain brand of soda is $0.40. If the regular price per can is discounted 15 percent when the soda is purchased in 24-can cases, what is the price of 72 cans of this brand of soda purchased in 24-can cases?
Sub 505 (Easy)
To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?
Sub 505 (Easy)
During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?
Sub 505 (Easy)
In a small snack shop, the average (arithmetic mean) revenue was 400perdayovera10−dayperiod.Duringthisperiod,iftheaveragedailyrevenuewas360 for the first 6 days, what was the average daily revenue for the last 4 days?
Sub 505 (Easy)
The total cost for Company X to produce a batch of tools is 10,000plus3 per tool. Each tool sells for $8. The gross profit earned from producing and selling these tools is the total income from sales minus the total production cost. If a batch of 20,000 tools is produced and sold, then Company Xâs gross profit per tool is
Sub 505 (Easy)
If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds?
605-655 (Medium)
If 1/3 of the total number of marbles in the three bags listed in the table above are blue, how many marbles are there in bag Q?
705-805 (Hard)
A certain experimental mathematics program was tried out in 2 classes in each of 32 elementary schools and involved 37 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
Sub 505 (Easy)
A manufacturer of a certain product can expect that between 0.3 percent and 0.5 percent of the units manufactured will be defective. If the retail price is $2,500 per unit and the manufacturer offers a full refund for defective units, how much money can the manufacturer expect to need to cover the refunds on 20,000 units?