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A shop sells only Apples, Bananas and Mangos. The ratio of Apples to Bananas is 5:11. The next shopper will choose one piece of fruit at random. The probability that they buy a Mango is 0.2. What is the probability that they buy an Apple?

We have the probability of choosing a Mango is 0.2 so the probability of choosing an Apple or Banana is 1-0.2=0.8.Next we use the ratio 5:11 to see that for every (5+11)=16 Apples or Bananas, 5 will be Ap...

Answered by Gregor M. • Maths tutor

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An item costs £65 but requires an additional 20% VAT to be added. How much change will you get from £100

(65 / 10)*2 = 13 This is the total amount of VAT to be added.65 + 13 = 78 This is the total amount spent.100-78= 22 Total change is £22.

Answered by Carys R. • Maths tutor

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Solve the following two equations simultaneously: 3x + y = 10, x + y = 4

Label the equations Equation 1: 3x + y = 10Equation 2: x + y = 42) Establish if the equations need to be subtracted or added together: 'Same sign is subtract and different sign is add' Therefore we ...

Answered by Bethany A. • Maths tutor

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Sketching a quadratic

Firstly ensure equation is equal to 0, so all variables are on one side of the equation. Factorize the quadratic to find the x intercepts. Complete the square to find the minimum/maximum point of the curv...

Answered by Abraham B. • Maths tutor

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Prove the square of an odd number is always 1 more than a multiple of 4

We will start by representing an odd number using algebra. Let n be a integer, i.e. 1,2,3,4,etc. then we can define an odd number as (2n)-1. This is because if a number is of the form 2n it must be even, ...

Answered by Tutor285427 D. • Maths tutor

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