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Gemma wants to buy an equal number of pencils and rulers. Find how many of each she is able to purchase with £5. Use the price list below.

Price list:Pencils - 10p Rulers - 30pWe know Gemma would like to buy an equal number of pencils and rulers. Therefore we can call this a 1:1 ratio. Using the price list we can see that 1 ruler and 1 penci...

Answered by Talha M. • Maths tutor

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A rectangle is made up of the equations; For the longer spans: 5x-12y+16 and 5y-4x+20; for the shorter spans: 2x-4y+4 and 3x-2y-12

Initially solve for the longer spans through simultaneous equations;5x-12y+16=5y-4x+20Simplify equation;9x-17y-4=0Repeat for the shorter spans;2x-4y+4=3x-2y-12Simplify equation;x+2y-16=0Make x the subject...

Answered by Benedict M. • Maths tutor

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Here is a list of numbers, ' 1, 3, 9, 24, 30'. Which number is i) prime ii) a square number and iii) a multiple of 4

i) 3 is the only prime number (be careful not to say 1, because 1 is NOT prime)
ii) 9 is the only square number
iii) 24 is the only multiple of 4

Answered by Anika S. • Maths tutor

2615 Views

Solve the following simultaneous equations: a + 3b = 12, 4a - 3b = 18 (KS3 2010 Paper 2)

So with simultaneous equations we want to try and eliminate one of the unknowns we have. In this case, they are a and b. If we label the two equations 1 and 2 we have to find a way to reduce the equations...

Answered by George B. • Maths tutor

1982 Views

A cake recipe for 4 people has the following ingredients: 150g of flour, 120g of sugar, 80g of butter, 20ml of milk, and 2 eggs. How much sugar do I need to bake a cake for 7 people?

120 g of sugar is required for 4 people
Therefore 120/4=30 g of sugar is required per person.
So 30x7=210 g of sugar is required to make a cake for 7 people.

Answered by Anika S. • Maths tutor

5840 Views