GCSE Secondary Maths Age 13-17 - Algebra: Money Problem - Explained

The video tutorial explains how to solve a problem involving the cost of adult and child cinema tickets using simultaneous equations. The teacher sets up the problem, formulates the equations, and demonstrates the elimination method to find the cost of each ticket. The tutorial emphasizes the importance of using algebra over trial and improvement, especially when dealing with decimal answers. The solution is broken down into steps, with marks allocated for each part of the process.

What was the main issue students faced when using trial and improvement to solve the problem?

• The problem was too complex.

• The values were not whole numbers.

• There were too many variables.

• The equations were incorrect.

What are the variables used to represent the cost of adult and child tickets?

• P and Q

• X and Y

• M and N

• A and B

What operation was performed on the first equation to help eliminate a variable?

• Addition

• Multiplication by 3

• Division

• Subtraction

What is the cost of an adult ticket after solving the equations?

• £7.50

• £8.50

• £9.50

• £10.50

Which equation was used to find the cost of a child's ticket?

• The first equation

• The second equation

• Both equations

• A new equation

What is the final cost of a child's ticket?

• £3.50

• £5.00

• £4.50

• £4.00

How many marks were allocated for correctly solving the problem?

• Five marks

• Four marks

• Three marks

• Two marks