Question

There is a vendor at a carnival selling bags of cotton candy. Each bag of cotton candy has the same cost. She starts each day with a certain amount of money to give change when necessary. After she sells a total of 12 bags, she has $128. After she sells a total of 20 bags, she has $160.
How much does the vendor charge per bag of cotton candy?

Answer 1

Answer:

The cost of each cotton candy bag is $4.

Step-by-step explanation:

Consider the provided information.

Let, the vendor has $x$ dollar at the starting of each day.

Let, the cost of each cotton candy bag is $y$.

Now when she sells a total of 12 bags, she has $128.

$x+12y=128$  .....(1)

After she sells a total of 20 bags, she has $160.

$x+20y=160$  ....(2)

Subtract equation 1 from equation 2.

$(x+20y)-(x+12y)=160-128$

$8y=32$

$y=4$

Hence, the cost of each cotton candy bag is $4.