Question

Mt. Calvary's budget for a swing set and fort to be built for the children's church is $900. If the cost of the swing set should be at least one fourth as much as the fort, how much can be spent on the fort and still build the swing set?

a. $600
b. $700
c. $800
d. $900

Answer 1

The cost of the fort should be no more than $720 in order to allocate enough budget for the swing set.

Step-by-step explanation:

Let's represent the cost of the fort as x.

According to the given information, the cost of the swing set should be at least one-fourth as much as the fort.

So, the cost of the swing set would be 1/4x.

Since the budget for both the swing set and fort is $900, we can set up the equation:

x + 1/4x = 900

Combining like terms, we get 5/4x = 900.

To solve for x, we can multiply both sides of the equation by 4/5.

x = (900)(4/5) = 720

Therefore, the cost of the fort should be no more than $720 and the remaining budget for the swing set would be $900 - $720 = $180.