Ian often buys in large quantities. a few months ago he bought several cans of frozen orange juice for $24. the next time ian purchased frozen orange juice, the price had increased by $0.10 per can and he bought 1 less can for the same total price. what was the price per can and the numbers of cans purchased each time?

For the answer to the question above asking, what was the price per can and the numbers of cans purchased each time?
let x be the number of cans he bought
the let us go to the 2nd statement which is the next time Ian purchased frozen orange juice, the price had increased by $0.10 per can and he bought 1 less can for the same total price.
The equation for this is .10(x-1) = 24
So now let's solve, 
 .10(x-1) = 24
.10x - .10 = 24
.10x = 24+ .10
.10x = 24.10
Then divide both sides by .10
So the answer for this question is 
241 cans of juice

Half of 8.65 maybe .