Question

On Friday and Saturday, there were a total of 200 cars in the parking lot of a movie theater. On Friday, 120 cars were in the parking lot.

A. What percent of the total number of cars were in the parking lot on Friday?

Show your work.







B. What percent of the total number of cars were in the parking lot on Saturday?

Show your work.

Answer 1

(A) 40%

(B) 60%

Explanation:

Given:

Total number of cars = 200

Cars in parking lot on Friday = 120

Total number of cars = Total cars on Friday + Total cars on Saturday.

⇒ 200 = 120 + Total cars on Saturday.

⇒ Total cars on Saturday = 200 - 120 = 80

So, 80 cars were in parking lot on Saturday.

(A)

Percentage of cars in parking lot on Friday is given as:

`=\frac{\textrm{Cars in parking lot on Friday}}{\textrm{Total cars parked}}* 100\\\\=(120)/(200)* 100\\\\=(120)/(2)=60\%`

Therefore, 60% of the cars were in the parking lot on Friday.

(B)

Now, since 60% of the cars were parked on Friday, the remaining percent will be on Saturday.

Therefore, percentage of cars in parking lot on Saturday = 100% - 60% = 40%. This can be verified with the same formula used in part (A).

`=\frac{\textrm{Cars in parking lot on Saturday}}{\textrm{Total cars parked}}* 100\\\\=(80)/(200)* 100\\\\=(80)/(2)=40\%`