SOLUTION: At a restaurant, four salads, three sandwiches, and one drink cost $51. Three salads, one sandwich, and two drinks cost $32. A salad costs twice as much as a drink. How much does e

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At a restaurant, four salads, three sandwiches, and one drink cost $51. Three salads, one sandwich, and two drinks cost $32. A salad costs twice as much as a drink. How much does e      Log On


   

Question 1092241: At a restaurant, four salads, three sandwiches, and one drink cost $51. Three salads, one sandwich, and two drinks cost $32. A salad costs twice as much as a drink. How much does each item cost?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Salad=Sl
sandwich=Sh
drinks=D
4Sl+3Sh+1D=51; Sl=2D, so 8D+3Sh+1D=51;
3Sl+1Sh+2D=32, Sl=2D, so 6D+1Sh+2D=32
9D+3Sh=51
8D+1Sh=32
-24D-3Sh=-96, multiplying the second by -3. Now add.
-15D=-45
D=$3
Sl=$6
3 Sh+27=51, so Sh=$8
Check in second.
$18+$8+6=$32.
Drinks are $3
Salads are $6
Sandwiches are $8.