SOLUTION: You have $100 and want to buy 100 items priced at $10, $3 and .50. What is the combination of items purchased when you must buy at least 1 of each?

Question 340654: You have $100 and want to buy 100 items priced at $10, $3 and .50. What is the combination of items purchased when you must buy at least 1 of each?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let be the number of $10 parts, $3 parts, $0.50 parts.
1.
.
.
.

2.
From eq. 1,

Substitute into eq. 2,

The equation can only be satisfied when is a multiple of .
In becomes a multiple of when .

Then

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