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If one shop has melons for sale on a buy one get one free offer at £2 a melon with each melon weighing 2kg, and a second shop offering melons at 30p per kilogram. Which shop is the best value for money?

Firstly you would analyse the cost of the melons in the first shop per kg. So you could buy 2 melons for £2 because they're buy one get one free and each weighs 2kg so therefore you're getting 4kg of melon f...
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Answered by Faye B. • Maths tutor
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write log2(5) +log2​​​​​​​(3) in its simplest form

This is an exapmle of the addition rule as part of the logorithm syllabus. The general rule is log a b + log a c = log a (b*c) When the base of the logarithm is the same and they are added the to numbers of ...
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Answered by Nicole P. • Maths tutor
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Simplify 3(x-5)/x^2-3x-10

The question is asking us to simplify; in particular, we have to simplify a fraction. We simplify a fraction by cancelling a factor from both the numerator and the denominator. We can apply this algebraicall...
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Answered by Nathan B. • Maths tutor
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Emma wants to buy a radio, the full price is £80. In the shop, she is given a discount. A year later, she sells the radio for £78, giving her a profit of 30% of what she bought it for the year before. What discount did she receive? (4)

Finding what Emma paid for her radio £78 / 1.3 = £60 (M1) (A1) Finding what percentage of £80 that is £60 / £80 = 0.8 or 80% (M1) Recognising the discount is 20% ie. 1-0.8=0.2 (A1)
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Answered by Helena R. • Maths tutor
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In a class of 30, the ratio of boys to girls is 2 : 3 , how many girls are there?

If the ratio is 2 : 3 then in a class of 5 there would be 2 boys and 3 girls. So we can say that 2/5 of the class are boys and 3/5 of the class are girls. And we know that to calculate 3/5 of 30 we must firs...
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Answered by Rebecca E. • Maths tutor
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