Question

Miss Martinez purchase two kinds of candy for a math game. Diplo pops cost $.50 each and the sneakers cost $.60 each. She purchase a total of 30 pieces of candy for $16.80. Writing system of equations that could be used to determine the each Candy purchase if S represents the number of knickers and beat represents the number of blow Pops purchased

Answer 1

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 =
`(1.80)/(0.10)`

D = 18

So the number of Diplo pops = 18

Number of sneakers S= 30 - 18 = 12