+0  
 
0
42
2
avatar

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?

 Sep 20, 2021
 #1
avatar
+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¢  

.

 Sep 21, 2021
 #2
avatar
+1

 

The site did something weird with my dollar signs.  

 

Those two lines should read  

 

It can't be 30 because that would mean there are no items at 2 dollars or 3 dollars       

 

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

.

Guest Sep 21, 2021

42 Online Users

avatar
avatar