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Amy earns £6 for every hour she works Monday to Friday. She earns £8 for every hour she works on Saturday. One week Amy worked for 5 hours on Saturday - she earned £130 that week. How many hours did she work from Monday to Friday?

Amy worked for 5 hours on Saturday so she earned £8 x 5 = £40 on that day. She earned £130 in total so we know she earned £130 - £40 = £90 working from Monday to Friday. For every hour Amy worked from Monday...
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Answered by Hamza M. • Maths tutor
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A cylinder has a circular face with a diameter of 10cm, and a body of length 30cm. Calculate the volume of the cylinder.

First recognise that the diameter is 10cm so the radius of the circle must be 5cm. Next use the formula for the area of a circle, πr 2 , to work out the area of the circular face: Area = 25πcm 2 Multiply thi...
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Answered by Hamza M. • Maths tutor
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Calculate the value of both x and y using the following 2 equations: 3x - 2y = 12 (1) and x - y = 3 (2)

Process of elimination: Multiply equation 2 by 3 to get the same coefficent in front of x: 3x - 3y = 9 (3) Subtract eq 3 from eq 1 to get: y = 3 Substitutute our value for y into eq 2 for simplicity: x - 3 =...
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Answered by Hamza M. • Maths tutor
9271 Views

Solve: a) 5t + 17 = 2 b) x^3 - 25 = 103 - x^3

a) Solving for t: We isolate our unknown t on one side, to leave the factors of t on one side and the numbers on the other: -1st step: substract 17 from both sides --> 5t = -15 -2nd step: divide by 5 on b...
LC
Answered by Luis C. • Maths tutor
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Dave and Chris split £24 in the ratio 2:1, how much does each person get?

With ratio questions we first have to look at the ratio split that the question wants. In this case is is 2:1, first sum up the two numbers that make the ratio, 2 and 1, to get 3. Then divide the number that...
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Answered by Matthew C. • Maths tutor
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