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Lily is buying theatre tickets. 4 adult tickets at £15 each 2 child tickets at £10 each A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card. Work out the total ticket price if Lily is paying by card?

First we need to find out the price of the tickets without the booking fee and credit card fee.4x15=602x10=2060+20=80 (This is the price of 6 tickets without fees)Now we calculate the booking fee, which is 1...
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Answered by Vaiva P. • Maths tutor
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Solve the simultaneous equation: x+2y=8 and 2x+y=10 - using a calculator

Make the x's the same in order to remove the x's from the eqn Multiply eqn (1) by 2 and keep eqn (2) the same to gain 2x+4y=16 and 2x+y=10To get rid of the x's, subtract: eqn (1) - eqn (2)4-1y = 16-10 which ...
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Answered by Robyn W. • Maths tutor
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How do you rationalize the denominator of a fraction?

Questions which ask for you to rationalize the denominator usually includes an integer and a square root of a number (x+sqrt(y)).We can use the following formula to our advantage: (a+b) (a-b)=a^2-b^2. In thi...
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Prove that 8 times any triangle number is always 1 less than a square number

A triangle number is a number such that it is the sum of n consecutive integers, starting from 0. Eg 1, 1+2, 1+2+3... are the first 3 triangle numbers. The formula for the nth triangle number is well-known a...
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Co-ordinate Geometry A-level: The equation of a circle is x^2+y^2+6x-2y-10=0, find the centre and radius of the circle, the co-ordinates of point(s) where y=2x-3 meets the circle and hence state what we can deduce about the relationship between them.

We have that x 2 + y 2 + 6x - 2y - 10 = (x+3) 2 + (y-1) 2 - 20 = 0 (step was motivated by the equation of a general circle (x-a) 2 + (y-b) 2 = r 2 )We know that the general circle has centre at (a,b) and the...
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