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Remember the divisibility rule for 9. The sum of the digits of the number must be divisible by nine.
Let the digit be
. Then 
has to be divisible by nine. Recalling that 
, we note that 
.
Let the digit be
Answer:
The number of Diplo pops D = 18
The number of sneakers S = 12
Step-by-step expla nation:
Given:
Cost of one Diplo pops = $.50
Cost of one sneakers = $.60
Total number of candies purchased = 30 pieces
cost of the number of candies purchased = $16.80
To Find:
Number of each type of candies = ?
Solution:
Let
The number of Diplo pops be D
The number of sneakers be S
Total number of candies = 30
S+D = 30
S= 30 - D--------------------------------------(1)
and cost of 30 candies is $16.80
S(0.50) + D(0.60) = 16.80----------------(2)
Substituting (1) in (2)
(30 - D)(0.50) + D(0.60) = 16.80
15 - 0.50D +0.60D = 16.80
15 + 0.10D = 16.80
0.10D = 16.80 - 15
0.10D = 1.80
D =
D = 18
So the number of Diplo pops = 18
Number of sneakers S= 30 - 18 = 12