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Lewis wins £360 in a prize draw. He gives 15% to charity and puts 3/8 into his savings. The rest he uses to buy a bike. How much of the money has Lewis got left for this bike? Note: do not use a calculator

10% of £360 is £36. Therefore 5% of £360 would be £18 (half of the 10% figure). Added together, 15% of £360 would be £54. 1/8 of £360 is £45 (half £360 three times), therefore 3/8 would be £135 (£45*3). £54 ...
LB
Answered by Lewis B. • Maths tutor
3642 Views

Solve the simultaneous equations x^2 + y^2 = 9 and y = 3x + 3

y 2 = (3x + 3) 2 = 9x 2 + 18x + 9 x 2 + 9x 2 + 18x + 9 = 9 10x 2 + 18x = 0 (root a: x = 0) 5x + 9 = 0 (root b: x = -1.8) For x = 0, y = 3(0) + 3 (root a: y = 3) For x = -1.8, y = 3(-1.8) + 3 (root b: y = -2....
AR
Answered by Alistair R. • Maths tutor
4526 Views

How would you increase 400 by 7%

First, we'd want to find out what 1% of 400 is. If 400 is the total number, that would make 400 the whole 100%. In order to find out 1% we'd want to divide the number by 100 which is 4. Now that we know 1% i...
TT
Answered by Tharani T. • Maths tutor
14632 Views

Find the exact length of side A in the triangle and give you answer in the simplest form. (It is a right angled triangle. Side C is (6+√(3)) and side B is (3 + 2√(3)).

a 2 + b 2 = c 2 (Pythagoras' Theorem) a 2 + (3 + 2√(3))(3 + 2√(3)) = (6 + √(3))(6 + √(3)) (Expanding brackets) a 2 + 9 + 6√(3) + 6√(3) + 12 = 36 + 6√(3) + 6√(3) + 3 (Multiplying and simplifying surds) a 2 + ...
RA
Answered by Rebecca A. • Maths tutor
4296 Views

I want to buy 1 litre of milk. My options are to either buy 250ml bottles for £1 each or 500ml bottles for £1.50 each. Which is the cheapest way for me to buy 1 litre of milk?

If you were to buy 250ml bottles you would need four meaning - 250 x 4 = £1 x 4 = £4. If you were to buy 500ml bottles you would need two meaning - 500 x 2 = £1.50 x 2 = £3. Therefore it is cheaper to buy tw...
EM
Answered by Emily M. • Maths tutor
3939 Views