SOLUTION: You buy the following sandwiches at a local deli for $30.00; six tuna sandwiches and six turkey sandwiches. Later, you buy four tuna sandwiches and eight turkey sandwiches for $3

Question 1131103: You buy the following sandwiches at a local deli for $30.00; six tuna sandwiches and six turkey sandwiches. Later, you buy four tuna sandwiches and eight turkey sandwiches for $30.60. What is the price of each sandwich?
Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Solve the 2X2 system for and

John

My calculator said it, I believe it, that settles it

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

If a solution using formal algebra is not required, try this informal solution using logical reasoning and a bit of mental arithmetic.

(1) Comparing the second purchase with the first, you got 2 fewer tuna sandwiches and 2 more turkey sandwiches, and the total cost went up 60 cents. Logical reasoning then tells us that a turkey sandwich costs 30 cents more than a tuna sandwich.

(2) From the first purchase, we know that the cost of one tuna sandwich and one turkey sandwich is $5.

(3) Putting (1) and (2) together, we can determine that the cost of a tuna sandwich is $2.35 and the cost of a turkey sandwich is $2.65.
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