The Midtown Middle School cheerleaders earned $175 at a car wash. If this amount is 25% of the cost of a new set of uniforms, what is the total cost fora a set of uniforms? Explain your reasoning.

0.25x = 175

x = 175 / 0.25

x = $700

I also think it’s $700 cause we are looking for the whole in this question so we have to divide 175 with 0.25

To find the total cost of a set of uniforms, we need to find the ratio of the amount earned at the car wash to the percentage it represents of the total cost.

Let's start by determining what 25% of the total cost represents. To do this, we can set up the following proportion:

(25/100) = (175/X)

The proportion compares the percentage (25%) to its corresponding value (175 dollars) in relation to the total cost (X dollars).

To solve this proportion, we need to cross-multiply:

25 * X = 100 * 175

Now, we can simplify the equation:

25X = 17,500

Divide both sides of the equation by 25:

X = 700

Therefore, the total cost for a set of uniforms is $700.