Question

A hotel charges a fixed price, x, for each night's stay and a fixed price, y, for each meal.

The Acuna family stayed 2 nights and ate 3 meals for a total price of $300. The McElroy

family stayed 3 nights while eating 5 meals for a cost of $460. What is x, the cost of one

night's stay?



PLZ HELP!!!!!

Answer 1

To find the cost of one night's stay, set up a system of equations using the given information. Solve the system of equations to find the values of x and y. Substitute these values into the equations to find the cost of one night's stay.

Step-by-step explanation:

To find the cost of one night's stay, we need to set up a system of equations using the given information. Let x be the cost of one night's stay and y be the cost of one meal.

From the first statement, we know that 2x + 3y = 300.

From the second statement, we know that 3x + 5y = 460.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

From the first equation, solve for x:

2x = 300 - 3y

x = (300 - 3y) / 2

Substitute this value of x into the second equation:

3((300 - 3y) / 2) + 5y = 460

Simplify the equation and solve for y:

(900 - 9y) / 2 + 5y = 460

900 - 9y + 10y = 920

y = 20

Substitute this value of y into the first equation to find x:

2x + 3(20) = 300

2x + 60 = 300

2x = 240

x = 120

Therefore, the cost of one night's stay is $120.

Answer 2

y = 20

x = 120

Step-by-step explanation:

2x + 3y = 300

3x + 5y = 460

mutliply eqn 1 by 3 and 2 by 2

6x + 9y = 900

6x + 10y = 920

y = 20

x =