Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get accurate and detailed answers to your questions 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.

elmo makes n sandwiches for a fundraiser. for each sandwich he uses b globs of peanut butter at 4 cents per glob and j blobs of jam at 5 cents per blob. the cost of the peanut butter and jam to make all the sandwiches is $2.53. assume that b, j, and n are positive integers with n>1. what is the cost, in dollars, of the jam elmo uses to make the sandwiches?

Sagot :

MrRoyal

The cost in dollar that Elmo used to make one sandwich is $0.23, while he spent $2.53 on all the sandwiches.

Given that:

  • He used b globs at 4 cent per glob for the peanut butter
  • He used j blobs at 4 cent per blob for the jam
  • And he made a total of n sandwiches

The equation of the n sandwiches made is represented as:

[tex]n \times (4b + 5j)=\$2.53[/tex]

Express $2.53 as cents

[tex]n \times (4b + 5j)=253[/tex]

The factors of 253 are 1, 11, 23, 253.

Given that n > 1, then the value of n can either be 11 or 23

Assume n = 11, then the equation becomes

[tex]11 \times (4b + 5j)=253[/tex]

Divide both sides by 11

[tex]4b + 5j=23[/tex]

The possible values of b and j that make the above equation to be true are:

b =2 and j = 3

This is proved as follows:

[tex]4 \times 2 + 5 \times 3=23[/tex]

[tex]8 +15=23[/tex]

[tex]23 = 23[/tex]

Hence, the cost in dollar that Elmo used to make one sandwich is $0.23, while he spent $2.53 on all the sandwiches.

Read more about linear equations at:

https://brainly.com/question/14323743

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.