Ibought 3 small tapas dishes and 2 large ones and spent a total of $14. i went another day and got 4 small dishes and 1 large one for $12. how much does each kind of dish cost?

the cost of one small tapas dish is $2

the cost of one large tapas dish is $4

Step-by-step explanation:

Let x represent the cost of one small tapas dish.

Let y represent the cost of one large tapas dish.

I bought 3 small tapas dishes and 2 large ones and spent a total of $14. This means that

3x + 2y = 14 - - - - - - - - - - 1

I went another day and got 4 small dishes and 1 large one for $12. This means that

4x + y = 12 - - - - - - - - - - - -2

Multiplying equation 1 by 1 and equation 2 by 2, it becomes

3x + 2y = 14

8x + 2y = 24

Subtracting, it becomes

- 5x = - 10

x = - 10/ - 5

x = 2

Substituting x = 2 into equation 2, it becomes

4 × 2 + y = 12

8 + y = 12

y = 12 - 8 = 4