Answer:
Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.
Step-by-step explanation:
Given:
Weight of 1 horse = 1,200 lb
Weight of trailer = 2,700 lb
Jacks'truck can tow a maximum of 5000 pounds.
To find the maximum number of horses Jack can take in his trailer without going over the maximum weight his truck can tow.
Solution:
Let the maximum number of horses that Jack can take be = ![x](https://tex.z-dn.net/?f=x)
Using unitary method to find weight of
horses.
If 1 horse weights = 1,200 lb
Then
horses will weight in lbs = ![1,200\times x = 1,200x](https://tex.z-dn.net/?f=1%2C200%5Ctimes%20x%20%3D%201%2C200x)
Total weight of horses and trailer in lbs = ![1200x+2700](https://tex.z-dn.net/?f=1200x%2B2700)
Since the maximum weight the truck can tow = 5,000 lb, so the inequality can be given as:
![1200x+2700\leq5000](https://tex.z-dn.net/?f=1200x%2B2700%5Cleq5000)
Subtracting both sides by 2700.
![1200x+2700-2700\leq5000-2700](https://tex.z-dn.net/?f=1200x%2B2700-2700%5Cleq5000-2700)
![1200x\leq2300](https://tex.z-dn.net/?f=1200x%5Cleq2300)
Dividing both sides by 1200.
![\frac{1200x}{1200}\leq\frac{2300}{1200}](https://tex.z-dn.net/?f=%5Cfrac%7B1200x%7D%7B1200%7D%5Cleq%5Cfrac%7B2300%7D%7B1200%7D)
![x\leq1.91](https://tex.z-dn.net/?f=x%5Cleq1.91)
From the inequality solution for
, we can conclude that Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.