A class used cars and vans to go on a field trip because all of the buses were already in use. They used 15 vehicles to go on the trip. Each car holds 4 students and each van holds 6 students. If 74 students went on the trip, then how many of each type of vehicle did the class use?

Answer:

8 cars and 7 vans

Step-by-step explanation:

Let c =number of cars

v = number of vans

c+v = 15

4c+6v = 74

Multiply the first equation by -4 to eliminate c

-4c -4v = -60

Adding the second equation

-4c -4v = -60

4c+6v = 74

-------------------

     2v = 14

Divide by 2

2v/2 = 14/2

v = 7

There are 7 vans

c+v = 15

c+7 = 15

c = 15-7

c = 8

There are 8 cars

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Question 3
Juvenile ground squirrels respond to predators by making alarm calls that can alert others to danger. A biologist conducted a study to investigate how squirrels respond to these alarm calls: run
to burrow or freeze. The biologist played recordings of alarm calls for three samples of ground squirrels, grouped by age, and observed the squirrels' responses. The data for the three age levels
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Run to Burrow
Freeze
Total
21
18
39
16
24
40
1 to 5 Days Old
6 to 15 Days Old
16 to Zs Days Old
Total
12
7
19
49
49
98
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