a cake weighing 12 kg is cut into n equal pieces. how much does each piece weigh?

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@lhmaths: Lesley Hall 1 2 3 4 5 6 7 8 9 10 11 12

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1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. A cake weighing 12 kg is cut into n equal pieces. How much does each piece weigh?. 12 n. A pencil costs n pence. A ruler costs 8p more than a pencil. 1. How much does a ruler cost?. 2. How much do 2 rulers cost?. n + 8. 2(n + 8). - PowerPoint PPT Presentation

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Page 1: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

1 2 3 4

5 6 7 8

9 10 11 12

Page 2: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

A cake weighing 12 kg is cut into n equal pieces.

How much does each piece weigh?

12n

Page 3: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

A pencil costs n pence.A ruler costs 8p more than a pencil.

1. How much does a ruler cost?

n + 8

2. How much do 2 rulers cost?

2(n + 8)

Page 4: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

A coach has 56 seats.

1. How many seats are there on x coaches?

56x

A coach has y seats.

2. How many seats are there on x coaches?

xy

Page 5: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

A prize of £90 is shared between you and n other friends.

How much does each person receive?

90n + 1

Page 6: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

I buy x lollies at 65p each and y lollies at 80p each

x + y

1. How many lollies do I buy altogether?

2. Write a formula for the total cost, T.

65x + 80y = T

Page 7: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

A box contains n chocolates.

The shopkeeper puts an extra 2 chocolates into each box. A girl buys 4

boxes.

Write a formula for the total number, T of chocolates she has?

4(n + 2) = T

Page 8: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

A cookery book gives the following rule to roast a chicken.

Total Time = 40 minutes per kg plus 25 minutes

Write a formula for the time needed to roast a chicken using this rule.

(Use x for weight in kg and T for time in minutes.)

40x + 25 = T

Page 9: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

Kyra has £5 to spend. She buys x pens at y pence each.

1. Write an expression for the total amount she spends.

xy

2. Write a formula for the amount of change she receives. Use T for her total

change.T = 5 - xy

Page 10: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

In a café a cup of tea cost 75p and a biscuit costs 12p?

How much does x cups of tea and y biscuits cost?

75x + 12y

Page 11: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

A tool hire firm charges £20 to hire a cement mixer for 1 day and £9 for every extra day.

Write a formula for the total cost, T to hire a cement mixer for x days.

T = 9(x – 1) + 20

Page 12: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

Ashley earns £n per week.She has a pay rise of £25 per week?

How much does she now earn in 6 weeks?

6(n + 25)

Page 13: A cake weighing 12 kg is cut into  n  equal pieces.   How much does each piece weigh?

@lhmaths: Lesley Hall

Sean and Dean organise a quiz evening.

A quiz team is made up of four people.Each team is charged £8 to enter.

They spend £20 on prizes and £25 on refreshments.There are x teams at the quiz.

On average, each member spends £3 on refreshments.

Write down an expression in x for the profit they make.

20x - 45