The number of chickens and goats in a field total 40. The total number of legs among them is 102. Assuming that each chicken has exactly two legs and each goat has exactly four legs, determine how many chickens and how many goats are in the field?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Using polya's 4 step problem solving strategy

  1. The number of chickens and goats in a field total 40. The total number of legs among them is 102. Assuming that each chicken has exactly two legs and each goat has exactly four legs, determine how many chickens and how many goats are in the field?
  2. Four friends ran a race: Ben finished seven seconds ahead of Mike. Noel finished three seconds behind Sam. Mike finished five seconds behind Noel. In what order did the friends finish the race.

 

Solve the following logic puzzles.

  1. Angelo is having a birthday with 6 of his family members. They are his grandmother, mother, aunt, brother, father, and uncle. Their names in random order are Ben, Cathy, Danilo, Elena, Felisa, and Gerald. Look at the clues below to discover the names of Angelo’s family members.

Clues:

1- Ben is not Angelo’s uncle.

2- Angelo’s grandmother’s name starts with E.

3- Gerald is not Angelo’s brother.

4- Cathy is not his aunt.

5- Angelo’s father’s name is Danilo

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