A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 2 bags of chips for $9.00. Another customer buys 5 hot dogs and 3 bags of chips for $11.75. Find the cost of a hot dog.

Answer: hot dog = $1.75

Step-by-step explanation:

Let h represent hot dogs and c represent bags of chips.

Customer 1: 4h + 2c = 9.00 → 3 (4h + 2c = 9.00) → 12h + 6c = 27.00

Customer 2: 5h + 3c = 11.75 → - 2 (5h + 3c = 11.75) → - 10h - 6c = - 23.50

2h = 3.50

:2 : 2

h = 1.75