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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)
HR
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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y = 2x + 5, Calculate x when y = 4

y = 2x + 5 y = 4, therefore 2x + 5 = 4 2x = 1 x = 1/2
JT
Answered by Jacob T. • Maths tutor
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A man stands 9 metres from the base of a tree. He knows the distance from where he is standing and the top of the tree is 15 metres. How tall is the tree?

a 2 + b 2 = c 2 a : 9 b : unknown c: 15 b 2 =c 2 - a 2 so b 2 = 225 - 81 =144 so b=12
JM
Answered by Jack M. • Maths tutor
3726 Views

The mean of 5 numbers is 42. The 5 numbers are 45,29,63,42 and X. Find the value of X.

42 x 5 = 210. 45+29+63+42 = 179. 210 - 179 = 31 X = 31
JF
Answered by Joseph F. • Maths tutor
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