1. Problems in linear equations
St. Angela ( Group 5)

2. 1st problem

3. 1st problem
Paula is now 18 years old and her colleague Monica is now 14 years old. How many years ago was Paula twice as old as Monica?

4. Chart
Past
Present
Paula
18-x 18
Monica
14-x 14

5. Solution
(18-x) - 2(14-x) 18-x = 28-2x

6. answer
X = 10

7. 2nd Problem

8. 2nd problem
A triangular Pyramid with a square base has a height equal to two times the side of it’s base. Find the dimension of the Pyramid if the volume is 100 cu. cm

9. Solution
Height = 2 Side of the base = x NOTE = Volume of the pyramid = 1/3 ( Area of the base) x height 100 = 1/3 (x^2)(2x) 100 = 2/3 (x^3) X = cube root of 150 Height = 2x 2( cube root of 150)

10. Height = 2 cube root of 150 Side of base = cube root of 150
Answer
Height = 2 cube root of 150 Side of base = cube root of 150

11. 3rd problem

12. 3rd problem
JJ is three times older as Jan-Jan. Three years ago, JJ was four times as old as Jan-Jan. the sum of there age is?

13. CHART
Past
Present JJ
3x-3 3x
Jan-Jan
X-3 x

14. solution
3x-3 = 4(x-3) 3x-3 = 4x-12 X-12 = 3 x = Jan- Jan’s age 3x = 27 ( JJ’s age )

15. answers
Sum of ages = = 36