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A rectangular path has perimeter of 240m. If the rectangle is split lengthways, two paths of 160m are formed. Work out the lengths of the sides of the original path.

Firstly, make sure to draw a picture! Worded questions are used to catch people out. Drawing a diagram makes solving certain problems much easier. Secondly, notice that we are asked for two pieces of informa...
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Answered by Henry D. • Maths tutor
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Solve for x, y, and z: 5x - 2y = 19 , 3x + 3z = 21 , y + z = 2

Like when there are two unknowns, the best way to solve this kind of problem is to rearrange and substitute, but because there are three unknowns, it's a bit more fiddly. To solve this you want to pick and i...
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Answered by Dan T. • Maths tutor
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A gym has 275 members. 40% are bronze members. 28% are silver members. The rest are gold members. Work out the number of gold members.

Firstly, we can calculate the total percentage of gold members = Total - bronze - silver Therefore, %gold = 100% - 40% - 28% = 32% So we know that 32% of 275 members are gold, and to find the total number of...
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Answered by Sarah S. • Maths tutor
10876 Views

How to calculate sin, cos and tan

SOH CAH TOA (imagining each as a triangle) S = sin C = cos T = tan O = opposite H = hypotenuse A = adjacent
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Answered by Phoebe H. • Maths tutor
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Solve the simultaneous equations: 5x + 3y = 41 and 2x + 3y = 20 Do not use trial and error.

5x + 3y = 41 2) 2x + 3y = 20 Subtract equation 2) from equation 1) to cancel the y's (3y-3y = 0) . Next we subtract the x's (5x - 2x = 3x) and then finally we have 41 - 20 = 21. We now have that 3x = 21 ( re...
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Answered by David T. • Maths tutor
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