Janice bought 30 items each priced at 30 cents, 2 dollars, or 3 dollars. If her total purchase price was $48.00, how many 30-cent items did she purchase?

Guest Sep 20, 2021

#1**+1 **

*Janice bought 30 items each priced at 30 cents, 2 dollars, or 3 dollars. If her total purchase price was $48.00, how many 30-cent items did she purchase?*

The total purchase price is an even number of dollars

Therefore the number of 30¢ items has to be a multiple of 10

It can't be 30 because that would mean there are __no__ items at $2 or $3

It can't be 20 because that would leave only 10 items at $2 or $3 and that isn't enough

Conclusion: There must be **10 items priced at 30¢**

_{.}

Guest Sep 21, 2021