Algebra 1 questions

Question

A house blueprint shows the bedroom is 5 inches wide and the actual length of the bedroom is 20 feet wide.  If the bedroom has a length of 16 feet what is the length on the blueprint? 

Responses

1. 4 in
2. 3.33 in.
3. 6 in.
4. 64 in.

Answer 1

Could do it as a proportion also: (all in inches)

Length Width

Actual 192 240

------- X ------

B/P x 5

Cross-multiply: 240x = 960

x = 4 in.

Answer 2

I would convert everything to inches to solve this problem. We know that there are 12 inches in 1 foot, therefore 20 feet = 20*12 inches = 240 inches and 16ft = 16*12 inches = 192 inches.

Now we find how much larger the room is from the blue print. Create a ratio 240/5 = 48 times as large. Therefore, the length on the blueprint would be 48 times smaller.

Find this by 192/48 = 4 inches