Question

15. Bhargav stops in at a deli to get lunch for
his crew. He buys five roast beef and three
vegetarian sandwiches and the order costs
$27.50. The next week, he pays $23.00
for two roast beef and six vegetarian
sandwiches. How much does one roast
beef sandwich cost?
✓

Answer 1

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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