# A project is underway to increase the size of the parking lot at the library. Once the project is completed, there will be 24 additional parking spots. This represents a 40% increase in the number of parking spots. How many parking spots will there be once the project is completed?

## If there are x spots now, then

.40x = 24
x = 60

So, there will be 84 after completion.

## To find out the number of parking spots before the project, we need to divide the additional parking spots by the percentage increase and then multiply by 100%.

Let's assume the current number of parking spots is x.

According to the information given, the additional parking spots are 24, which represents a 40% increase.

So, we can set up the following equation:

x + (40/100)x = x + 0.4x = x(1+0.4) = x(1.4)

To find the value of x, we can divide both sides of the equation by 1.4:

x = (x(1.4))/1.4
x = 24/0.4
x = 60

Therefore, there are currently 60 parking spots at the library.

Now, to find the number of parking spots once the project is completed, we need to add the additional 24 parking spots to the current number of parking spots:

Total number of parking spots = 60 + 24
Total number of parking spots = 84

Once the project is completed, there will be 84 parking spots at the library.

## To find out how many parking spots there will be once the project is completed, we need to determine the current number of parking spots first.

Let's represent the current number of parking spots as "x." According to the given information, a 40% increase in the number of parking spots equals 24 additional spots.

To calculate the increase, we can set up the following algebraic equation:

40/100 * x = 24

To solve for x, we need to isolate it. We can do this by multiplying both sides of the equation by 100/40, which is equivalent to multiplying by 5/2:

(40/100 * x) * (100/40) = 24 * (5/2)

Simplifying the equation:

x = 24 * (5/2) * (100/40)
x = 12 * 5 * (100/40)
x = 12 * 5 * 2.5
x = 300

So, the current number of parking spots is 300.

Now, to find the total number of parking spots after the project is completed, we just need to add the additional 24 spots:

Total number of parking spots = Current number of parking spots + Additional spots
Total number of parking spots = 300 + 24
Total number of parking spots = 324

Therefore, once the project is completed, there will be a total of 324 parking spots.