SOLUTION: Hello tutors at algebra.com, <p> I'm 13 years old and having a lot of difficulty working this out. I know if I actually did it or actually spent the time to work it out I would

Question 131258: Hello tutors at algebra.com,

I'm 13 years old and having a lot of difficulty working this out. I know if I actually did it or actually spent the time to work it out I would find out the answer, but I would like to know a quick method or something reasonably easy and quick to do to solve the problem. I have encountered these plenty of times and have found so much difficulty and irritation with them, because they take so long to do. If you could find a quick method I'd love it. Here's the question and another similar one and I was also wondering if the same approach is applied to both:

"If you have 50c, $2 and $1 coins, in how many ways can you make up $10?"
"I have a 1c, 2c, 5c, 10c coin. What is the total number of non-zero amounts of money which can be formed from some or all of these coins?"

Help, a detailed explanation would be really appreciated and loved.

Thankyou,

Jasmine

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
YOU NEED TO MAKE UP A TABLE
.50----1-----2---TOTAL
--------------------------------
20-----------------10
18-----1-----------10
16-----2-----------10
14-----3-----------10
12-----4-----------10
10-----5-----------10
8------6-----------10
6------7-----------10
4------8-----------10
2------9-----------10
0-----10-----------10
14-----1-----1-----10
12-----2-----1-----10
10-----3-----1-----10
8------4-----1-----10
6------5-----1-----10
4------6-----1-----10
2------7-----1-----10
0------8-----1-----10
10-----1-----2-----10
6------1-----3-----10
2------1-----4-----10
8------2-----2-----10
4------2-----3-----10
0------2-----4-----10
6------3-----2-----10
2------3-----3-----10
8------4-----1-----10
4------4-----2-----10
0------4-----3-----10
6------5-----1-----10
2------5-----2-----10
0------6-----2-----10
2------7-----1-----10
0------8-----1-----10
16-----------1-----10
12-----------2-----10
8------------3-----10
4------------4-----10
0------------5-----10
0------2-----4-----10
0------4-----3-----10
0------6-----2-----10
0------8-----1-----10
0------------5-----10
BELIEVE THIS IS A CONMPLETE SET?
I'LL LEAVE THE SECOND PROBLEM FOR YOU TO PRACTICE WITH.

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