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1 Pouring Created by Inna Shapiro ©2007

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2 Problem 1 Marty has two cans: a small one (5 qt) and a large one (7 qt). How can he get 6 qt of water from a tap? We are using the base volume units 1 gallon /gal/ =4 quarts /qt/ 1 quart /qt/ = 2 pints /pt/

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3 Answer Marty can follow the next steps: 1.Fill the large can with 7 qt of water. 2.Pour 5 qt of water from the large can to the small can. 3.Empty the small can. 4.Pour the remaining 2 qt of water from the large can to the small can. 5.Fill the large can from a tap. 6.Fill the small can from the large can. 7.Empty the small can. 8.Pour the remaining 4 qt of water from the large can to the small can. 9.Fill the large can from a tap. 10.Fill the small can from the large can. Now Marty has 6 qt of water in the large can.

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4 Answer /continued / Step12345678910 Large can 7220744076 Small can 0502250445 These 10 steps are summarized in the following table:

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5 Problem 2 There are two buckets – 4 qt and 9 qt. How can you get 6 qt of water from a river?

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6 Answer You can follow these steps: Step12345678 Large can 95511096 Small can 04040114

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7 Problem 3 Kathy has two cans – 3 qt and 5 qt. How can she pour 4 qt of water from a tap?

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8 Answer Kathy can use the following table: Step123456 Large can 522054 Small can 030223

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9 Problem 4 There are three buckets: 10qt, 7qt, and 3qt. The large bucket is full of milk. How can you pour 5 qt of milk into the medium bucket?

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10 Answer You can follow these steps: Step123456789 Large bucket 1033669922 Medium bucket 074411075 Small bucket 003030113

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11 Problem 5 There are more than 13 gal of gasoline in a container. A driver has two cans – a 9 gal can and a 5 gal can. How can he get 8 gal of gasoline?

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12 Answer The driver can use the following table: Step1234567 Container>13>4 >9 >0 Large can 0944098 Small can0050445

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13 Problem 6 A large can /12 gal/ is full of milk. A farmer has two empty cans – a small one /5 gal/ and a medium one /8 gal/. How can the farmer divide the milk equally between two cans?

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14 Answer Step12345678 Large can 124499116 Medium can 08330866 Small can00503350 The farmer can follow these steps:

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15 Problem 7 Bill knows that there are more than 10 pt of water in a a can. He has two pots – a small one /5pt/ and a large one /9 pt/. How can he get exactly 6 pt of water?

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16 Answer Bill can use the following table: Step 12345678910111213 Can >10>1 >6 >5 >0 >9 >4 Large pot 0944005590116 Small pot 0050450511050

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17 Problem 8 There are 18 qt of water in a bucket and three empty pots – 7 qt, 7 qt, and 4 qt. How can you put 6 qt of water in the bucket and 6 qt in each of the two bigger pots?

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18 Answer You can follow the next steps: Step12345678910 Bucket1811 7788812 1-st pot 7 qt 0733333366 2-d pot 7 qt 0004477300 3-d pot 4 qt 0040410440

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19 Answer /continued / Step11121314151617 Bucket5599226 1-st pot 7 qt 6666666 2-d pot 7 qt 7330766 3-d pot 4 qt 0403340

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20 Problem 9 Peter has three cans: 6 qt, 7 qt, and 3 qt. He knows that there is 4 qt of water in the first can and 6 qt of water in the second one. How can he pour half of the water into one can?

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21 Answer Step123456 1-st can 6 qt 411655 2-d can 7 qt 667225 3-d can 3 qt 032230 Peter can use the following table:

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22 Problem 10 Grandma put two equal cups – a cup of coffee and a cup of milk - on a table. Then she poured one tablespoon of milk in the cup of coffee and stirred it. After that she poured one tablespoon from the cup of coffee in the cup of milk. Which is now bigger – the volume of coffee in the cup of milk or the volume of milk in the cup of coffee?

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23 Answer Lets look at the cup that originally had only coffee. Suppose the volume of that cup is V, and the volume of milk in it is M. The remaining volume in this cup is V-M, and it is coffee. The rest of the coffee that was originally in that cup is now in the other cup. So the amount of coffee in the milk is V- (V- M) = M That means Grandma gets the same amounts of coffee in the milk and milk in the coffee.

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