a swimming pool is 60 ft long and 35 ft wide. a model of the pool is 9 in long. how wide is the model

9/60 = x/35

Cross multiply and solve for x.

To solve this problem, we need to set up a proportion between the actual width of the pool and the width of the model. Here's how:

Step 1: Set up the proportion with the given measurements:
Actual width of the pool / Width of the model = Actual length of the pool / Length of the model

Step 2: Substitute the given measurements into the proportion:
35 ft (actual width of the pool) / Width of the model = 60 ft (actual length of the pool) / 9 in (length of the model)

Step 3: Convert the length of the model to feet:
Since the length of the pool is in feet, we need to convert the length of the model from inches to feet. Since there are 12 inches in 1 foot, 9 inches is equivalent to 9/12 = 3/4 feet.

So now the equation becomes:
35 ft / Width of the model = 60 ft / (3/4) ft

Step 4: Simplify the equation and solve for the width of the model:
To simplify the equation, we can divide both sides by (3/4) ft:
35 ft / Width of the model = 60 ft * (4/3) / 1 ft

Multiplying the numerator and denominator by 4, we get:
35 ft / Width of the model = (60 ft * 4) / (3 ft * 1)

Simplifying further:
35 ft / Width of the model = 240 ft / 3 ft

Canceling out the feet:
35 / Width of the model = 240 / 3

Dividing both sides by 35:
Width of the model = (240 / 3) * (1 / 35)

Simplifying:
Width of the model ≈ 6.861 ft

Therefore, the width of the model is approximately 6.861 feet.