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PETA in MATH

PETA in MATH. Submitted to: Mr. Juliano S. Parena Jr. By: Group 2, St. Angela Members: Marvin Joshua M. Canonizado Mheriellyn D. Bustamante Paulo Capili Althea Briones. PROBLEM #1. Problem:.

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PETA in MATH

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  1. PETA in MATH Submitted to: Mr. Juliano S. Parena Jr. By: Group 2, St. Angela Members: Marvin Joshua M. Canonizado Mheriellyn D. Bustamante Paulo Capili Althea Briones

  2. PROBLEM #1

  3. Problem: Ben’s age is four years less than three times that of his sister Amy. Half of Ben’s age increased by Amy’s age is 2 years more than twice Amy’s age. Find their ages.

  4. Solution: Then 3n – 4 = Ben’s age Let n = Amy’s age Half of Ben’s age ½ (3n-4) Increased by + Amy’s age n is = two years 2 more than + twice Amy’s age 2n Equation: ½ (3n-4) + n = 2 + 2n

  5. Equation: ½ (3n-4) + n = 2 + 2n 3/2n -2 + n = 2 + 2n Multiplication Property Symmetric Property • 3/2n + n- 2n = 2 + 2 • 1/2n = 4 Addition & Subtraction Property • n = 8 Multiplication Property • Amy is 8 years old Substitution 3n - 4 = 3(8) - 4 = 20 • Ben is 20 years old

  6. Taken from: Modern Algebra: Structure and Method, Book 1 Author: Dolciam Berman Freilich Published: 1965, Houghton Mifflin Company Chapter 5, page 167

  7. PROBLEM #2

  8. Althea has a Higher income than Vaughn and their total income is $82,000.if their salaries differ by $16,900,then what is the income of each?

  9. Let x+$16,900=Althea income Let x=Vaughn `s income Solution: X+16,900+x=82,000 2x=$65,100 X=$32550 $49,450=Althea $32,550=Vaughn

  10. Source: Title:Collegeof algerbra and trinogonometer(3rd edition) Author:MarkDugopolski Date published where:2003;Pearson,inc.Chapter 8 p.615

  11. PROBLEM #3

  12. The age of Aman and Atul are in the ratio 5:7.Four years later,the sum of their ages will be 56years.What are their present age?

  13. Let x(5x+4)=Aman`s age Letx(7x+4)=Atul`s age WE: (5x+4)+(7x+4)=56 5x+4+7x+4=56 5x+7x=56-4-4 12x=48 X=4 Amans`s age= 24yrs.old Atuls`s age=32yrs.ols

  14. Source:http://www.wiziq.com\tutorial\35137-linear-equation-in one-variable

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