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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?

Respuesta :

Answer:

The cost of each cotton candy bag is $4.

Step-by-step explanation:

Consider the provided information.

Let, the vendor has [tex]x[/tex] dollar at the starting of each day.

Let, the cost of each cotton candy bag is [tex]y[/tex].

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

[tex]x+12y=128[/tex]  .....(1)

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

[tex]x+20y=160[/tex]  ....(2)

Subtract equation 1 from equation 2.

[tex](x+20y)-(x+12y)=160-128[/tex]

[tex]8y=32[/tex]

[tex]y=4[/tex]

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

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