Question

Janie's couch is 7 1/2 feet long.The scale of the dollhouse is 1 inch: 2 feet. What is the length of the miniature couch for the dollhouse?

Answer 1

You can set up a proportion.
7 1/2 --> 7.5 (just to make it easier...we'll convert back to fraction later)
Scale: 1 inch to 2 feet --> \(\Large\frac{1in}{2ft}\)
You want to find out how many inches correlates to the actual length of the couch.
\(\Large\rightarrow\frac{x\ in}{7.5ft}=\frac{1in}{2ft}\)

Answer 2

You want to solve for x in the equation above. Can you do the rest yourself?

Answer 3

It's not 2 1/2
Cross multiply to solve:
\(\Large\frac{x\ in}{7.5ft}=\frac{1in}{2ft}\rightarrow 2x=7.5(1)\rightarrow 2x=7.5\)
Solve for x

Answer 4

3.75 or 3 3/4 inches is correct

Answer 5

i think you mean 7.5 divided by 2. but yes, 7.5/2 = 3.75

Answer 6

I don't know what you mean...3.75 = 3 3/4

Answer 7

good work

Answer 8

this is great @codilee98