The Payphone Problem Maths Coursework.

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The Payphone Problem Maths Coursework

"I will be investigating a pay phone problem in which I will be using some information and my knowledge to guide me. I will have to make predictions and conclusion's and use tables to show my work."

A pay phone will take only 10p, 20p, 50p and £1 coins.

A woman has plenty of 10p and 20p coins. She has no other coins. She can put the coins into the pay phone in any other.

Question?

. The woman is going to make a phone call costing any multiple of 10p. Investigate the number of different ways she could put 10p and 20p coins into the payphone.

Prediction

I predict that my table will have a relationship and show me how to find a sequence or the nth term.

Table.

Amount of money

Ways of putting it in (in order)/

No of ways to put it in (in order)

0p

0p

20p

0p + 10p

20p

2 1+1

30p

0p + 10p + 10p

20p + 10p

0p + 20p;

3 1+2

40p

0p + 10p + 10p + 10p

20p + 20p

20p + 10p + 10p

0p + 20p + 10p

0p + 10p + 20p

5 1+1+3

50p

0p + 10p + 10p + 10p + 10p

20p + 20p + 10p

0p + 20p + 20p

20p + 10p + 20p

20p + 10p + 10p + 10p

0p + 20p + 10p + 10p

0p + 10p + 20p + 10p

0p + 10p + 10p + 20p

8 1+3+4

60p

0p + 10p + 10p + 10p + 10p + 10p
Join now!


20p + 20p + 20p

20p + 20p + 10p + 10p

0p + 20p + 20p + 10p

0p + 10p + 20p + 20p

20p + 10p + 10p + 20p

0p + 20p + 10p + 20p

20p + 10p + 20p +10p

20p + 10p + 10p + 10p + 10p

0p + 20p + 10p + 10p + 10p

0p + 10p + 20p + 10p + 10p

0p + 10p + 10p + 20p + 10p

0p + 10p + 10p ...

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