Question

a car rental company rents vehicles to groups one group rented 5 vans and 2 cars to fit 70 people another group rented 3 vans and 4 cars to fit 56 people each vehicle was completely filled how many people fit in a van how many people fit in a car

Answer 1

12 people fit in a van, 5 fit in a car

Explanation:

v is people in a van, c is people in a car

5v+2c=70

3v+4c=56

5v+2c=70

2c=70-5v

c=35-2.5v

now use substitution to plug in c

3v+4(35-2.5v)=56

3v+140-10v=56

140-7v=56

-7v=-84

v=12

now we know v, plug it in to find c

5(12)+2c=70

60+2c=70

2c=10

c=5

12 people fit in a van, 5 fit in a car