Question

The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? f represents the number of state parks in Florida.

a) 3(f − 36) = 85
b) 1/3f + 36 = 85
c) (f - 36)/3 = 85
d) (f + 36)/3 = 85

Answer 1

The correct equation to find the number of State Parks in Florida is b) 1/3f + 36 = 85, representing the relationship that California has 36 more parks than one third of Florida's parks.

Step-by-step explanation:

The correct equation to find the number of State Parks in Florida based on the information provided is b) 1/3f + 36 = 85. This is because the number of State Parks in California, which is 85, is said to be 36 more than one third the number of State Parks in Florida represented as 'f'. To express this relationship algebraically, we set up the equation as one third of the number of parks in Florida plus 36 equals the number of parks in California: 1/3f + 36 = 85.