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Maths
GCSE

A bag contains only apple and oranges. The probability an apple is picked randomly is 1 in 5. The apple is returned, and five more apples are added to the bag. The probability of an apple being picked is now 1in 3. How many apples were there originally?

2 simultaneous unknown equations. Let x be the number of apples originally, and n the number of fruits in the bag in total originally. i) first scenario, where probability is 1/5, x/n = 1/5    5x= n  ii) ...

CL
Answered by Chloe L. Maths tutor
3690 Views

solve this simultaneous equation: 2x + 3y = 19 (Eq1) and 3x + y = 11 (Eq2)

Begin by multiplying the second equation by three in order to get a 3y value: 9x + 3y = 33. We can now subtract equation one from equation two, 9x + 3y = 33 and 2x + 3y = 19 -->7x + 0y = 14. Resulting ...

TB
Answered by Tomas B. Maths tutor
4146 Views

How do we use ratios to figure out how much money to give to people of a lump sum?

Lets start with an example scenario:Two people are to receive a percentage of a £500 business sale. One receives 25% and the other receives 75%.
When using percentages we must remember that it means...

DC
Answered by Daniel C. Maths tutor
5308 Views

The width of a Rectangle is 4cm shorter than its length. the rectangle has an area of 32cm2. Calculate its perimeter?

x (x-4) = 32X^2-4x-32 = 0(x-8)(x+4) = 0 x=8perimeter =8+4+4+8 = 24cm.

DH
Answered by Daniel H. Maths tutor
3665 Views

Simplify 24ab^2 / 6b

To begin this question, it is first necessary to separate the different parts: the numbers, the as and the bs.The number division is simple. 24/6 = 46b has no values of a. Therefore, the a remains untouch...

IB
Answered by Isabelle B. Maths tutor
4543 Views

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