Question

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?

Answer 1

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:

$n \times (4b + 5j)=\ 2.53$

Express $2.53 as cents

$n \times (4b + 5j)=253$

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

$11 \times (4b + 5j)=253$

Divide both sides by 11

$4b + 5j=23$

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:

$4 \times 2 + 5 \times 3=23$

$8 +15=23$

$23 = 23$

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:

brainly.com/question/14323743