25 ham barbecue sandwiches and 12 drinks cost $83.75 50 ham barbecue sandwiches and 27 drinks cost $171.25 what is the cost of each sandwich

Question

Algebra problem 

algebra one 

Answer 1

 

 

25 S+ 12 D = 83.75 ......  Eq 1

50 S + 27D = 171.25...... Eq2

Solve these  two eqations for  S( as No. of Sandwiches) and D ( as No. of drinks) .You get the answers

 

Answer 2

Express the known information in mathematical form:

 

25H + 12D = $83.75

50H + 27D = $171.25

 

Multiply the first equation by 2 and subtract from the second equation, then solve for D.

 

50H + 27D = $171.25

50H + 24D = $167.50

__________________

0H + 3D = $3.75

D = $3.75/3

 

Substitute the known value of D in either equation and solve for H.