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Maths
GCSE

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 i...

Answered by Vaiva P. Maths tutor
3495 Views

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 whi...

Answered by Robyn W. Maths tutor
2843 Views

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. ...

Answered by Maths tutor
2272 Views

A different pattern is made using 20 straight lines and 16 arcs. The straight lines and arcs are made of metal. 20 straight lines cost £12 and the cost of one straight line: cost of one arc = 2:3. Work out the total cost of metal in the pattern.

First we need to find the cost of one arc from the information we already have about the arc (20 straight lines cost £12). To do this divide the £12 total cost by the number of lines 20.12 ÷ 20 = £0.60 ea...

Answered by Ryan D. Maths tutor
6401 Views

(x+6) and (x+5) are the length and width, respectively, of a rectangle with area 20. Calculate the width of the rectangle.

(x+6)(x+5)=20. x2 + 11x +30=20. x2+ 11x + 10 = 0. (x+10)(x+1)=0 . x=-1 and x=-10. width= -10+5=-5 (invalid solution). width =-1+5= 4. Checking through: (-1+6)*(-1+5)=20.

Answered by Maths tutor
2675 Views

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