Answer: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
