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Simplify the following: 2(3-2x) - 3(x+1)

Step 1: Expand the brackets 6 - 4x - 3x - 3 Step 2: Collect terms 3 - 7x Cannot Simplify further, answer is 3- 7x

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Annie and Louis are going to the cinema with their friends. Annie buys two adult tickets and a popcorn for £18.Louis buys 4 adult tickets and 3 popcorn buckets for £45. How much is a ticket and a popcorn bucket?

Ticket = T, popcorn bucket = PAnnie - 2T+P=18 (1)Louis - 4T + 3P = 45 (2)

scaling up:
(1) x 3:
6T + 3P= 54 (3)
solving:(3)-(2)2T = 9T = 4.5substitute back in2T + p = 18(2 x4.5) +...

Answered by Rhiannon F. • Maths tutor

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each month Rohan spends all his income on rent, travel and other living expenses. 1/3 of his income is used for rent, 1/5 on travel and £420 on other living expenses ... work out his income each month

1/3 + 1/5 = 8/15 (amount spent on rent and travel) 1 - 8/15 = 7/15 (amount spent on living expenses) 420 ÷ 7/15 = 899.999... = £900...

Answered by Rohan K. • Maths tutor

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Solve the simultaneous equations, 3x + y = 10 and x + y = 4.

Firstly we want to get both equations in terms of one variable.3x + y = 10y = 10 - 3
x + y = 4y = 4 - x
Make these two equations equal10 - 3x = 4 - x
Rearrange the numbers to one side and t...

Answered by Brenda L. • Maths tutor

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Tom bought a full bag of coal. After one week the bag was 2/3 full. During the next week he used 1/4 of the remaining coal. How much is left?

This question is going to involve multiplying fractions. The question tells us that in the first week 1/3 of the coal was used, and 2/3 was left.Then in the second week the used 1/4 of the remainders, lea...

Answered by Brenda L. • Maths tutor

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