Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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?

Sagot :

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.

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.