Please show me how to solve:
Brenda drove three times as far as Jan.
Brenda drove 24 miles more than Jan.
How far did Jan drive?
b = 3j
b = 24 + j
3j= 24 + j
2j = 24
j = 12
b = 36
To solve this problem, let's represent the distance Jan drove as "x" miles.
According to the given information, Brenda drove three times as far as Jan. So, the distance Brenda drove would be 3 * x = 3x miles.
The second piece of information states that Brenda drove 24 miles more than Jan. Therefore, we can set up the equation:
Brenda's distance - Jan's distance = 24
(3x - x) = 24
Simplifying the equation, we get:
2x = 24
To find the value of x (the distance Jan drove), we will divide both sides by 2:
2x/2 = 24/2
x = 12
Therefore, Jan drove 12 miles.