+0  
 
-1
55
1
avatar+244 

The answer I got is 21

 

 

Each piece of candy in a shop costs a whole number of cents. Casper has exactly enough money to buy either 12 pieces of red candy, 14 pieces of green candy, 15 pieces of blue candy, or n pieces of purple candy. A piece of purple candy costs 20 cents. What is the least possible value of n?

 

(a) 18

 

(b) 21

 

(c) 24

 

(d) 25

 

(e) 28

 Feb 16, 2019
 #1
avatar+98177 
+3

20n  must be the amount of money that he has

 

Thus    12, 14  and 15    must divide 20 n    evenly

 

Find the LCM of  (12, 14, 15)  

 

12 = 2^2 * 3

14= 2 * 7

15   = 5 * 3

 

So....the LCM is   2^2 * 7 * 3 * 5 =  420

 

So....

 

420 = 20n

 

420 /20  = n

 

21 = n

 

Looks like you are correct CU ....!!!!

 

 

cool cool cool

 Feb 16, 2019

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