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When we have a quadratic (ax² + bx + c = 0) we can "complete the square" to solve for x. For example x² + 8x + 7 = 0. First look at the x² + 8x, in particular th...

Firstly, since only one equation is linear, substitution must be used. This will allow us to make a quadratic equation with one variable and solve for X and Y. To do this, I will make Y the subject of the...

Original Price x Percentage Multiplier = New Price

Percentage Multiplier = (100-20)/100 = 0.8

OP x 0.8 = £12

OP = £12/0.8 = £15

First, split into prime factors- 96= 2^5 * 3 and 132= 2^2 * 3 * 11 Whilst very similar to highest common factor, lowest common multiple is found by comparing the two sets of prime factors, and for each pr...

We are assuming that the sweets are selected at random. The question says that the sweets are eaten, so we are also assuming that they aren't put back into the bag. The total probability of selecting the ...