Question

You have been asked to build a scale model of a restaurant out of bottle caps. The restaurant is 20 feet tall. Your scale is 2.4 cm: 1 foot. A bottle cap is 1.2 cm tall. About how many bottle caps tall will your model be?

Answer 1

`40\ bottle\ caps`

Explanation:

we know that

The scale is
`(2.4)/(1)\ (cm)/(ft)`

That means

2.4 cm in the model represent 1 foot in the real

In this problem

The restaurant is 20 feet tall

Find the height of the model

Multiply the actual height of the restaurant by the scale 2.4

`20\ ft=20(2.4)=48\ cm`

A bottle cap is 1.2 cm tall

To find out the number of bottle caps divide the height of the model by 1.2

`(48)/(1.2)= 40\ bottle\ caps`