Each roast beef cost $4 and each vegetarian sandwich cost $2.5
Let x represent the cost of each roast beef and let y represent the cost of each vegetarian sandwich.
Bhargav buys five roast beef and three vegetarian sandwiches and the order costs $27.50. This can be represented by the equation:
5x + 3y = 27.50 (1)
Bhargav buys 2 roast beef and 6 vegetarian sandwiches and the order costs $23.00. This can be represented by the equation:
2x + 6y = 23.00 (2)
To find x and y, we have to solve equation 1 and 2 simultaneously. Multiply equation 1 by 2 and subtract equation 2 from the result:
8x = 32
x = 4
Put x = 4 in equation 2
2(4) + 6y = 23.00
6y = 15
y = 2.5
Therefore each roast beef cost $4 and each vegetarian sandwich cost $2.5
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