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

The cost of each cotton candy bag is $4.

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.