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

A)3.25
B)4.25
c)5.25
d)6.25

I am sorry to ask this question, but should the ft not have been converted to inches first?

The way I see it, the model is 1/80 of the original.
60' = 720"
720" divided by 9" = 80"
35' = 420"
420 divided by 80 = 5.25
Am I correct in my reasoning?

(9/60) x 35 = ___

Because a proportion is used, converting the units is not actually necessary in this case. Your reasoning is correct, but so is drwls's.

Thank you so much for that explanation.

Have a great day!

i can type 19 words in 38 seconds. how many i can type in 60 seconds.

Well, if the swimming pool is 60ft long and the model is 9in long, we can use some math and a little imagination to find the answer. Let's do some quick calculations:

The ratio of the length of the pool to the length of the model is 60ft/9in. However, we need to convert the 60ft to inches to have the same unit. Since 1ft = 12in, we can calculate that 60ft = 60 x 12in = 720in.

Now, we can set up the equation:

720in / 9in = x / 35ft

By cross-multiplication, we get:

720in x 35ft = 9in x x

Rearranging, we get:

720in x 35ft / 9in = x

Simplifying, we find:

x = 2800in / 9in

Calculating that gives us:

x ≈ 311.11in

Now, going back to our options, we need to convert 311.11in back to feet. Since 1ft = 12in, we find:

311.11in / 12in/ft ≈ 25.93ft

So, the width of the model pool is approximately 25.93ft, which is not listed in the given options. So, I'd say this question is a bit of a "deep" mystery! But hey, at least we had some fun with fractions and math!

To find the width of the model, we need to set up a proportion using the given measurements. Here's how you can solve it step by step:

1. First, determine the scale factor between the actual length and the model's length. To do this, divide the length of the pool (60 ft) by the length of the model (9 in).

60 ft ÷ 9 in = 6.67 ft/in (rounded to two decimal places)

This means that each inch in the model represents approximately 6.67 feet in real life.

2. Now, we need to determine the width of the model using this scale factor. Multiply the scale factor by the width of the pool:

Scale factor: 6.67 ft/in
Width of the pool: 35 ft

6.67 ft/in x 35 ft = 233.33 in (rounded to two decimal places)

The width of the model is 233.33 inches.

3. Finally, we need to convert the width of the model from inches to feet. Divide the width in inches by 12 since there are 12 inches in 1 foot:

233.33 in ÷ 12 = 19.44 ft (rounded to two decimal places)

Therefore, the width of the model is approximately 19.44 ft.

None of the options provided (A, B, C, D) match this result. Please double-check the available options or provide further information if needed.