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Question:

A crate containing a puppy weighs 60 pounds, 5 ounces. The puppy weighs 43 pounds, 7 ounces. How much does the crate alone weigh?

A 16 pounds, 14 ounces

explanation

16 ounces make a pound. Subtract 43 pounds, 7 ounces (the weight of the puppy) from 59 pounds, 21 ounces (the weight of the crate). 59 pounds, 21 ounces is the same as 60 pounds, 5 ounces, but converting an additional pound to ounces makes the subtraction possible.

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A recruiter travels 1,100 miles during a 40-hour workweek. If she spends 2/5 of her time traveling, how many hours does she spend traveling?

16

Don’t let the number of miles traveled confuse you — you don’t use them to solve the problem. 2/5 of a 40-hour workweek is 2/5 × 40/1 = 80/5. Reduce the fraction: 80 ÷ 5 = 16 hours per week spent traveling.

A piece of wood measuring 16.5 inches long is cut into 2.75-inch pieces. How many smaller pieces of wood are there?

6

The number of smaller pieces is 16.5/2.75 = 6.

A homeowner must pay 2% of the appraised value of the home every year in taxes. If the house is appraised at $256,000, how much will the homeowner pay each year in taxes?

$5,120

$256,000 × 2% = $256,000 × .02 = $5,120

A dog trainer is building a dog run that measures 9 x 16 feet. If she wants to fence the perimeter of the run, how many feet of chain link fence will she need?

50 feet

Calculate perimeter by adding the lengths of all four sides of a quadrilateral: 9 + 9 + 16 + 16 = 50 feet.

A company buys 500 bumper stickers. If the price of bumper stickers is $2 each for the first 200 and $0.50 for each bumper sticker after that, how much does the company pay for the bumper stickers?

$550

The company pays a total of $400 for the first 200 stickers, then a total of $150 for the next 300 stickers.

A restaurant bill without tax and tip comes to $38.40. If a 15% tip is included after a 6% tax is added to the amount, how much is the tip?

$6.11

The tax on the bill is $38.40 × 6% = $2.30. The amount, including tax, is $38.40 + $2.30 = $40.70. The tip is $40.70 × 15% = $6.11.

A recipe calls for 8 ounces of black beans or red beans. The cheapest option to buy and use would be:

one 8-ounce can of red beans at $1.49

Choice (one 8-ounce can of red beans at $1.49) is the cheapest option. Calculate each answer option and compare:
Choice (two 4-ounce cans of black beans at $0.79 each): 2 x $0.79 = $1.58.
Choice (one 8-ounce can of red beans at $1.49): $1.49.
Choice (two 3-ounce cans of black beans at $0.59 each): Two 3-ounce cans don’t equal 8 ounces, so this answer can’t be correct.
Choice (three 3-ounce cans of red beans at $0.65 each): 3 x $0.65 = $1.95.

A machine can produce 8,000 widgets in 3 hours. How many widgets are produced in 1 day?

64,000

If a machine produces 8,000 widgets in 3 hours, it produces 8000/3 widgets in 1 hour. There are 24 hours in a day, so 8000/3*24 or 64,000 widgets are produced in 1 day.

A painter has painted a picture on a piece of canvas that measures 10 × 14 inches. In order to accommodate a frame, he has left an un-painted margin of 1 inch all the way around. What part of the canvas has been painted?

68.5%

The area of the entire piece of canvas = 10 inches × 14 inches = 140 square inches. The portion painted on equals 8 inches × 12 inches = 96 square inches. (This is determined by subtracting 1 inch from the length of each side to account for the margin.) The portion used for painting can be expressed as a fraction: 96/140. Reduce this fraction (divide 96 by 140) to determine that 68,5% of the canvas is covered with paint.

A carpenter needs to cut four sections, each 3-feet 8-inches long, from a piece of molding. If the board is only sold by the foot, what’s the shortest length of board she can buy?

15 feet

Convert the mixed number to inches. 3 feet 8 inches equals 44 inches (12 inches per foot × 3 feet = 36 inches + 8 inches = 44 inches). 44 inches (length each section needs to be) × 4 (number of sections needed) = 176 inches (total molding needed). To determine the amount of molding needed in feet, convert 176 inches into feet by dividing 176 inches by 12 inches. You get 142/3 feet, so the shortest board length is 15 feet.

A rectangle is 3/2 times as long as it is wide. The perimeter of the rectangle is 100 inches. What’s the length of the rectangle?

30 inches

The formula for the perimeter of a rectangle is P = 2L + 2W. In this case, P = 100 and L = 1.5W.
100 = 2(1.5W) + 2W
100 = 3W + 2W
100 = 5W
W = 100/5
W = 20. The width of the rectangle is 20 inches.
Because the length is 1¹/₂ the width,1.5 × 20 = 30.

A printing plant that produces baseball cards has a monthly overhead of $6,000. It costs 18 cents to print each card, and the cards sell for 30 cents each. How many cards must the printing plant sell each month in order to make a profit?

60,000

Let x = the number of cards printed and sold each month. Therefore, the cost is equal to 6000 + 0.18x, and revenue is equal to 0.30x. You’re looking for the point where revenue is greater than the cost (revenue > cost). The inequity is 0.30x > 6000 + 0.18x. Subtracting 0.18x from both sides of the inequity results in 0.12x > 6000. Divide both sides by 0.12. The result is that x > 50,000. The printing plant would have to print and sell more than 50,000 cards per month to make a profit. Therefore, the only correct answer is 60,000.

A librarian wants to shelve 532 books. If 4 books fit on a 1-foot length of shelving, how many feet of shelving does she need to shelve all the books?

133

Divide 532 by 4 to determine how many feet of shelving will be needed.

A sales manager buys antacid in bottles by the gross. If he goes through 3 bottles of antacid every day, how long will the gross last?

48 days

Do you even know what a gross is? It's a 12 dozen. Which basically mean 144. 12 x12 = 144 bottles are in a gross. 144 ÷ 3 (bottles per day) = 48 days.