elmo makes sandwiches for a fundraiser. for each sandwich he uses globs of peanut butter at per glob and blobs of jam at per blob. the cost of the peanut butter and jam to make all the sandwiches is . assume that , , and are positive integers with . what is the cost of the jam elmo uses to make the sandwiches?

Question

21-10-2022
Mathematics

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elmo makes sandwiches for a fundraiser. for each sandwich he uses globs of peanut butter at per glob and blobs of jam at per blob. the cost of the peanut butter and jam to make all the sandwiches is . assume that , , and are positive integers with . what is the cost of the jam elmo uses to make the sandwiches?

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Vinodhiniss Vinodhiniss · Answer 1 · 2022-10-28T01:41:26-04:00

The cost of the jam Elmo uses to make the sandwiches =$1.65

What is the cost of the jam Elmo uses to make the sandwiches?

B globs of Peanut butter at 4 cents = 4B

J blobs of Jam at 5 cents = 5J

The number of sandwiches is given by the linear equation,

N(4B + 5J ) =$ 2.53

N(4B + 5J ) = 253 cents ---(1)

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

Since N > 1 , N is 11 or 23

Considering N = 11

11(4B + 5J ) = 253

4B + 5J = 23 ---(2)

The possible values of B and J to satisfy the linear equation:

B = 2 and J = 3

Substituting B and J in (2)

4B + 5J = 23

4 (2) + 5(3) = 23

8 + 15 = 23

23 = 23

The linear equation is verified.

The cost of jam Elmo uses to make the sandwiches =N( 5J)

=11 (5*3)

= 11 *15

= 165 cents or $1.65

The complete question is:

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 of the jam elmo uses to make the sandwiches?

What is a linear equation?

Equations for straight lines are known as linear equations.

As a one-degree equation, it also goes by that name.

When an algebraic equation is graphed, a linear equation always produces a straight line since each term has an exponent of 1.

In one variable and two variables, respectively, there are linear equations.

To learn more about linear equations, refer:

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