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Solving Animal Counting Problems: Number of Pigs and Hens on a Farm

A farmer seeks to determine how many pigs and hens are on his farm. His children's counting reveals there are 70 heads (pigs and hens) and 200 legs in total. To solve this multi-step problem, we can use a graphical approach to set up the system of equations. Let P represent the number of pigs and H represent the number of hens. From the given data, we derive two equations: 1) P + H = 70 (heads) and 2) 4P + 2H = 200 (legs). By solving this system, we find that there are 30 pigs and 40 hens on the farm.

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Solving Animal Counting Problems: Number of Pigs and Hens on a Farm

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  1. Graphical Approach to solve multi-step problems A farmer wants to know how many pigs and hens are on his farm. He asks his children to count the animals on the farm. His children determined that there are 70 heads of pigs and hens and 200 legs altogether.

  2. Graphical Approach to solve multi-step problems A farmer wants to know how many pigs and hens are on his farm. He asks his children to count the animals on the farm. His children determined that there are 70 heads of pigs and hens and 200 legs altogether. How could the number of pigs and hens be determined?

  3. P Pig: 4 legs 2 legs H Hen: Heads: Legs: 70 200 P H Graphical Approach to solve multi-step problems

  4. P Pig: H Hen: Heads: Legs: 70 P H 200 P P P P H H Graphical Approach to solve multi-step problems

  5. 70 P H 200 P P P P H H Graphical Approach to solve multi-step problems Heads: Legs: P How many pigs? How many hens? H

  6. Rearrange P H 200 P P P P H H Graphical Approach to solve multi-step problems 70 Heads: P H Legs:

  7. Graphical Approach to solve multi-step problems Rearrange 70 Heads: P H P H 200 Legs: P P P P H H

  8. Graphical Approach to solve multi-step problems Rearrange 70 Heads: P H P H 200 Legs: P P H H P P

  9. Graphical Approach to solve multi-step problems Rearrange 70 Heads: P H P H 200 Legs: P H P H P P

  10. 70 70 ? Graphical Approach to solve multi-step problems Rearrange 70 Heads: P H P H 200 Legs: P H P H P P

  11. Graphical Approach to solve multi-step problems 70 Heads: P H 200 Legs: P H P H P P 70 70 60

  12. Graphical Approach to solve multi-step problems 70 Heads: P H 200 Legs: P H P H P P 70 70 60

  13. P = 30 H = 40 Graphical Approach to solve multi-step problems 70 Heads: P H 200 Legs: P H P H P P 70 70 60

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