1. The number of ducks and pigs in a field totals 35. The total number of legs among them is 98. Assuming each duck has exactly two legs and each pig has exactly four legs, determine how many ducks and how many pigs are in the field. (Do not use the strategy of making an equation or systems of equations for this item)

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D. Using Polya?s Four Steps, solve the following problems. Do not copy the problem on your answer
sheet.
1. The number of ducks and pigs in a field totals 35. The total number of legs among them is 98.
Assuming each duck has exactly two legs and each pig has exactly four legs, determine how many
ducks and how many pigs are in the field. (Do not use the strategy of making an equation or
systems of equations for this item)
2. Four boys were playing marbles; their names were Gary, Harry, Iggy, and Jack. One of the boys
had 9 marbles, another had 15, and each of the other two had 12. Their ages were 3, 10, 17, and
18, but not respectively. Gary shot before Harry and Jack. Jack was older than the boy with 15
marbles. Harry had fewer than 15 marbles. Jack shot before Harry. Iggy shot after Harry. If Iggy
was 10 years old, he did not have 15 marbles. Gary and Jack together had an even number of
marbles. The youngest boy was not the one with 15 marbles. If Harry had 12 marbles, he wasn?t
the youngest. The 10-year-old shot after the 17-year-old. In what order did they shoot, and how
old was each boy?
Transcribed Image Text:D. Using Polya?s Four Steps, solve the following problems. Do not copy the problem on your answer sheet. 1. The number of ducks and pigs in a field totals 35. The total number of legs among them is 98. Assuming each duck has exactly two legs and each pig has exactly four legs, determine how many ducks and how many pigs are in the field. (Do not use the strategy of making an equation or systems of equations for this item) 2. Four boys were playing marbles; their names were Gary, Harry, Iggy, and Jack. One of the boys had 9 marbles, another had 15, and each of the other two had 12. Their ages were 3, 10, 17, and 18, but not respectively. Gary shot before Harry and Jack. Jack was older than the boy with 15 marbles. Harry had fewer than 15 marbles. Jack shot before Harry. Iggy shot after Harry. If Iggy was 10 years old, he did not have 15 marbles. Gary and Jack together had an even number of marbles. The youngest boy was not the one with 15 marbles. If Harry had 12 marbles, he wasn?t the youngest. The 10-year-old shot after the 17-year-old. In what order did they shoot, and how old was each boy?
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