Brenda and her best friend went on a vacation together. they both paid for a flight, and brenda had a fancy room for $150 per night, for a total of $1,500. her friend had a smaller room for $120 per night, for a total of $1,320.

part a
write and solve a system of linear equations to find the cost of the flight, x, and the number of nights on their vacation, y. complete the equation for brenda's costs first.
+ =
+ =
the flights were $ each, and they stayed .

part b
if a third friend joined them and stayed in a mid-range room for $130 per night, how much would her vacation cost?

A. 2x + 150y = 1,500

   2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. $1,380

Step-by-step explanation:

Let x be the cost of the flight (in one side) and y be the number of nights on their vacation.

A. Brenda had a fancy room for $150 per night, then she paid $150y for y nights.  Brenda's total is $1,500, then

Brenda's friend had a smaller room for $120 per night, then she paid $120y for y nights.  Brenda's friend total is $1,320, then

Subtract two equations:

Substitute into the first equation:

Hence

2x + 150y = 1,500

2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. If a third friend joined them and stayed in a mid-range room for $130 per night, then he paid

The total cost is

answer: the answer is 127 degrees

step-by-step explanation: