SOLUTION: On Monday, Darryl went to his favorite deli. Darryl spent $10.97 for 1 tuna sandwich and 2 chicken sandwiches. On Tuesday, he went to the same deli. He spent $12.96 for 3 tuna sand

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: On Monday, Darryl went to his favorite deli. Darryl spent $10.97 for 1 tuna sandwich and 2 chicken sandwiches. On Tuesday, he went to the same deli. He spent $12.96 for 3 tuna sand      Log On


   

Question 1179750: On Monday, Darryl went to his favorite deli. Darryl spent $10.97 for 1 tuna sandwich and 2 chicken sandwiches. On Tuesday, he went to the same deli. He spent $12.96 for 3 tuna sandwiches and 1 chicken sandwich. Find the cost of each type of sandwich.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x cost of tuna sandwich
y cost of measure of chicken sandwich


1.00 x + 2.00 y = 10.97


3.00 x + 1.00 y = 12.96 .............2
Eliminate y
multiply (1)by 1.00
Multiply (2) by -2.00
1.00 x 2.00 y = 10.97
-6.00 x -2.00 y = -25.92
Add the two equations
-5.00 x = -14.95
/ -5.00
x = 2.99
plug value of x in (1)
1.00 x + 2.00 y = 10.97
2.99 + 2.00 y = 10.97
2.00 y = 7.98
y = 3.99
Ans x = 2.99
y = 3.99
$2.99 cost of tuna sandwich
$3.99 cost of measure of chicken sandwich