Eli is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people and large rooms that can hold 5 people. Eli reserved twice as many large rooms as small rooms, which altogether can accommodate 65 guests. Determine the number of small rooms reserved and the number of large rooms reserved.

5 small rooms and 10 large rooms.

Step-by-step explanation:

Let be "s" the number of  small rooms reserved and "l" the number of large rooms reserved.

Using the information given in the exercise, set up a System of equations:

Now, in order to solve the System of equations, you can use the Substitution method. The steps are:

1. You must substitute the second equation into the first equation:

2. Now, you must solve for the variable "s" in order to find its value:

3. Finally, substitute the value of "s" into the second equation and evaluate, in order to find the value of "l". You get that this is:

they will manufacture 8496 cars

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x