Shelley drives her car for p days over a 30-day period. Her sister Helen used it for 1/6 of the remaining days.

(a) For how long does Helen use the car?

(b) For how long do Shelley and Helen use the car over a 30-day period?

Ueh

To solve this problem, we first need to find out how many days Shelley drives the car. We subtract the number of days Helen uses it from the total number of days in the 30-day period.

(a) To find how many days Helen uses the car, we first need to determine the number of days Shelley uses the car. We can do this by subtracting the number of days Helen uses the car from the total number of days in the 30-day period.

Let's denote the number of days Shelley drives the car as "x". We know that Helen uses the car for 1/6 of the remaining days, which is (30 - x)/6.

So, to find how long Helen uses the car, we multiply (30 - x)/6 by the total number of days in the 30-day period:

(30 - x)/6 = days Helen uses the car

(b) To find how long Shelley and Helen use the car together, we add the number of days Shelley uses the car (x) to the number of days Helen uses the car ((30 - x)/6):

x + (30 - x)/6 = days Shelley and Helen use the car

Now, we can solve these equations to get the answers:

(a) To find how long Helen uses the car, solve the equation:
(30 - x)/6 = days Helen uses the car

(b) To find how long Shelley and Helen use the car, solve the equation:
x + (30 - x)/6 = days Shelley and Helen use the car