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
"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