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A bag contains red discs, white discs and blue discs. 1/6 of the discs are red, 1/4 of the discs are blue. What is the smallest possible number of white discs?

We are given the fractions representing the number of discs in the bag. When comparing fractions, we should first find a common denomenator for them. The smallest common denomenator for 6 and 4 is 12 (4 3=12...
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Answered by Grimonia C. • Maths tutor
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Solve for x and y, with x and y satisfying the equations 3x+2y=36and 5x+4y=64

x=8 y=6
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Answered by Lucy S. • Maths tutor
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There are 20 sweets in a bag, 5 are white and 15 are black. What is the probability that a sweet chosen at random will be white?

5 out of the 20 sweets in the bag are white. This could be written as 5/20. This is the probability. However, this can be simplified to 1/4 'one quarter' or 0.25.
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Answered by Toby D. • Maths tutor
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Integrate the function f(x)=lnx

This question must be attempted by integration by parts since it cannot be integrated outright and we can thus change the integral to 1 times lnx. We can then use the formula for integration by parts of I(in...
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Answered by Srikant S. • Maths tutor
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What is 12x^6 / 7 divided by 4x^2 / 5 ?

When dividing fractions, the first step is to change the division symbol to a multiplication symbol and flip the fraction that we are dividing by which gives us 12x 6 / 7 multiplied by 5 / 4x 2 . The next st...
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Answered by Juliette R. • Maths tutor
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