a beach resort is offering two weekend specials. one includes a two night stay with 3 meals and costs $195…

a beach resort is offering two weekend specials. one includes a two night stay with 3 meals and costs $195. the other includes a three night stay with 5 meals and costs $300. how much is the cost of a one night stay?\n$15\n$75\n$100\n$95

a beach resort is offering two weekend specials. one includes a two night stay with 3 meals and costs $195. the other includes a three night stay with 5 meals and costs $300. how much is the cost of a one night stay?\n$15\n$75\n$100\n$95

Answer

Explanation:

Step1: Define variables

Let $n$ = cost of 1 night stay, $m$ = cost of 1 meal.

Step2: Set up equations

$$2n + 3m = 195$$ $$3n + 5m = 300$$

Step3: Eliminate $m$ (scale equations)

Multiply first equation by 5: $10n + 15m = 975$ Multiply second equation by 3: $9n + 15m = 900$

Step4: Subtract equations

$$(10n + 15m) - (9n + 15m) = 975 - 900$$ $$n = 75$$

Answer:

B. $75