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Question:

A batch of cookies requires 2 cups of milk and 4 eggs. If you have 9 cups of milk and 9 eggs, how many batches of cookies can be made?

A 2

explanation

With 9 cups of milk, 9/2 =4(1/2) or four full batches can be made. However, with nine eggs, only 9/4 =2(1/4) or two full batches can be made. At most, only two batches can be made with the given ingredients.

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A 2-ton truck is taxed at a rate of $0.12 per pound. How much is the total tax bill?

$480

2 tons = 4,000 pounds. 4,000 × $0.12 = $480.00.

A cardboard box has a length of 3 feet, height of 2(1/2) feet, and depth of 2 feet. If the length and depth are doubled, by what percent does the volume of the box change?

300%

The volume of the original box is 3*2(1/2)*2=15. The volume of the box with the length and depth doubled is 6*2(1/2)*4=60. The amount of change in volume is 60 – 15 =45. The percent change is the amount of change in volume divided by the original volume: 45/15 × 100% = 300%.

A bin of bolts at the hardware store contains 7-dozen bolts when full. The stock clerk is supposed to reorder bolts when the bin is 1/6 full. How many bolts are in the bin when it’s time to reorder?

14 bolts

First find how many bolts a full bin contains: 7 × 12 = 84 bolts. Then multiply the total number of bolts in a full bin by 1/6 to find how many bolts are in the bin when it’s 1/6 full: 84/1 × 1/6 = 84/6 = 14 bolts.

A man's hourly wage increased from $12.50 to $13.50. What percent raise did he get?

8%

To find the percent of increase, subtract the second number from the original/first number (13.5-12.5=1.0) and divide that result by the original number (1 ÷12.5 =0.08=8%)

A baker sells a dozen donuts for $3.99. The cost to make three donuts is $0.45. How much is the total profit on 5 dozen of donuts?

$10.95.

Multiply $0.45 (the cost of making 3 donuts) by 4 to find the cost of making a dozen donuts: $0.45 × 4 = $1.80. Then multiply the cost of making a dozen donuts by 5 to determine the cost per 5 dozen: $1.80 × 5 = $9.00. Next, multiply the selling price per dozen times 5, the number of dozens sold: $3.99 × 5 = $19.95. Finally subtract the cost of making 5-dozen donuts from the price the baker sells them for to determine the profit: $19.95 – $9.00 = $10.95.

There are 5 blue marbles, 4 red marbles, and 3 yellow marbles in a box. If Jim randomly selects a marble from the box, what is the probability of selecting a red or yellow marble?

\( \frac{\mathrm{7} }{\mathrm{12} } \)

A probability is the likelihood of a successful event occurring divided by the total number of events possible. In this case, a successful event is selecting either a red or a yellow marble and the total number of events possible is the total number of marbles. Combine the number of red and yellow marbles: 4 + 3 = 7, and divide this by the total number of marbles: 5 + 4 + 3 = 12. The probability is \( \frac{\mathrm{7} }{\mathrm{12} } \)

A bread recipe calls for 3(1/4) cups of flour. If you only have 2(1/8) cups, how much more flour is needed?

1(1/8)

3(1/4) - 2(1/8) = 13/4 - 17/8 = 26/8 -17/8 = 9/8 = 1(1/8) more cups of flour.

21 students, or 60% of the class, passed the final exam. How many students are in the class?

35

Let x = the number of people in the class. 60% of x = 21, so 0.60x = 21. x = 35.

A back yard is 50 feet by 100 feet. What’s its area?

5,000 square feet

The area of a rectangle is the length × the width of the rectangle. 50 × 100 = 5,000.

If 5 apples cost $2.00, how much will 15 apples cost?

$6

15 apples is three times as many as 5 apples, so 15 apples will cost 3x$2 = $6

A blouse normally costs $18.50. How much money is saved if the blouse is purchased at a 20% discount?

$3.70

Multiply the price of the blouse by the amount of the discount: $18.50 × 0.20 = $3.70.

A baseball stadium has 1,350 box seats, 3,527 reserve seats, 2,007 general admission seats, and 4,275 bleacher seats. What is the total number of seats in the stadium?

11,159

The total number of seats is 1,350 + 3,527 + 2,007 + 4,275 = 11,159.

A car is driven 750 miles in 25 hours. What is the rate of the car in miles per hour?

30

The rate of the car is 750miles/25hours. Dividing 25 into 750 gives 30, so the car is traveling at 30 miles per hour.

Carpet costs $3 per square yard. The room that will be carpeted is 12 feet x 18 feet. How much will the carpet cost?

$72

12 feet x 18 feet is equivalent to 4 yards x 6 yards = 24 sq yards. 24 square yards x $3/sq yard = $72. Remember 3 feet = 1 yard, but 9 sq feet = 1 sq yard.

A 10-foot rope is to be cut into equal segments measuring 8 inches each. The total number of segments is

15.

The total number of inches in a 10-foot rope is 10 × 12 = 120 inches. The number of 8-inch segments that can be cut is 120/8 =15 .