A small company has a fleet of 3 pickup trucks and 4 delivery vans. A larger company has the same ratio of pickup trucks to delivery vans. If the larger company has 45 pickup trucks, how many delivery vans does it have?

60 delivery vans

Step-by-step explanation:

Smaller company:

Pickup truck : delivery van = 3 : 4

If the larger company has 45 pickup trucks

Let x = number of delivery vans

Larger company:

Pickup truck : delivery van = 45 : x

Equate both ratios

3 : 4 = 45 : x

3/4 = 45/x

Cross product

3 * x = 4 * 45

3x = 180

x = 180/3

x = 60

x = number of delivery vans = 60