For this case, the first thing we must do is define variables.
We have then:
x: number of cabins
y: number of campers
We now write the equation that models the problem:

We know that there are 148 campers.
Therefore, substituting y = 148 in the given equation we have:

From here, we clear the value of x:

Therefore, the number of full cabins is:

Answer:
The number of full cabins is:

Answer: x = 4
<u>Step-by-step explanation:</u>
6ˣ = 1296
6ˣ = 6⁴
Since they have the same base, set the exponents equal to each other:
x = 4
10t = b - 4
12b+8t = $348
This is a system of equations. I’ll be solving through substitution.
In the first equation. solving for b (the easier variable to isolate) gives you:
b = 10t + 4
Substitute this into the second equation:
12(10t+4) +8t = 348
120t+48+8t = 348
128t = 300
t = 2.34375 —> round it to the nearest cent to get 2.34 dollars
b = 10t+4
b = 10(2.34)+4
b = 27.4 dollars