Ayden’s school took a field trip. A total of 32 vehicles were needed for the trip. Some students took the bus, and some students car-pooled. There were 27 people on each bus and 3 people in each car. 408 people altogether attended the trip. How many buses and cars were needed for the trip?

Step-by-step explanation:

Let x be the number of buses for the trip.

Then (32 - x) is the number of cars for the trip.

We have 27x + 3(32 - x) = 408.

=> 27x + 96 - 3x = 408

=> 24x = 312

=> x = 13

Hence there are 13 buses and (32 - 13) = 19 cars.

Mean

Step-by-step explanation:

Mode:

Before adding 97 = 38

After adding 97 = 38

Mean:

Before adding 97 = 513/9 = 57

After adding 97 = 610/10 = 61

Median:

38, 38 , 38, 43, 54, 56, 70, 79, 97

Before adding 97 = 54

38, 38 , 38, 43, 54, 56, 70, 79, 97, 97

After adding 97 = 54 +56/2 = 110/2 = 55