PETA in MATHSubmitted to:

Mr. Juliano S. Parena Jr.By:

Group 2, St. AngelaMembers:

Marvin Joshua M. CanonizadoMheriellyn D. Bustamante

Paulo CapiliAlthea Briones

PROBLEM #1

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.

more than

+

Solution:Let n = Amy’s age Then 3n – 4 = Ben’s age

Half of Ben’s age

½ (3n-4)

Increased by

+

Amy’s age

n

is

=

two years

2

twice Amy’s age

2n

Equation: ½ (3n-4) + n = 2 + 2n

½ (3n-4) + n = 2 + 2n

Equation:

3/2n -2 + n = 2 + 2n Multiplication Property3/2n + n - 2n = 2 + 2 Symmetric Property1/2n = 4 Addition & Subtraction

Propertyn = 8 Amy is 8 years old3n - 4 = 3(8) - 4 = 20

Substitution

Ben is 20 years old

Multiplication Property

Taken from:Modern Algebra: Structure and Method, Book 1Author: Dolciam Berman FreilichPublished: 1965, Houghton Mifflin CompanyChapter 5, page 167

PROBLEM #2

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?

Let x+$16,900=Althea income Let x=Vaughn `s income

Solution:X+16,900+x=82,0002x=$65,100X=$32550$49,450=Althea$32,550=Vaughn

Source:

Title:College of algerbra and trinogonometer(3rd

edition)

Author:Mark Dugopolski

Date published where:2003;Pearson,inc.Chapter 8 p.615

PROBLEM #3

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?

Let x(5x+4)=Aman`s ageLetx(7x+4)=Atul`s age

WE:(5x+4)+(7x+4)=565x+4+7x+4=565x+7x=56-4-412x=48X=4Amans`s age= 24yrs.oldAtuls`s age=32yrs.ols

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