Algebra help | Solving Word Problems on system of Equations by Cross-Multiplication Method
Solving Word Problems on system of Linear Equations Cross-Multiplication Method
Solving the pair of linear equations by cross multiplication method
Description: This task is designed to solve the pair of linear equations by cross multiplication
Execution: Teacher will explain the procedure for solving pair of linear equations by cross
multiplication. Worksheets will then be distributed and students will solve the worksheets.
Teacher may conduct a class discussion for follow up.
Parameters for Assessment:
. Able to recognize the coefficients of the variables in both the equations.
. Able to apply the formula correctly depending upon the equations being ax+ by+ c=O or ax+ by=c.
. Able to do the cross multiplication correctly.
. Able to get the required solution.
00:02 Solving equations by cross-multiplication
02:15 Q4. Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :
03:10 (i) A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs 1180 as hostel charges. Find the fixed charges and the cost of food per day.
08:13 Algebraic Methods of Solving a Pair of Linear Equations : cross-multiplication
(ii) A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction.
12:23 Solving the pair of linear equations by cross-multiplication method
(iii) Y ash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test?
17:02 Solve system of linear equations by cross-multiplication method
(iv) Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?
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