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

Answer 1

Part a)
`40\ bottle\ caps`

Part b)
`3(3)/(19)\ popsicle\ sticks`

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

Part a) we know that

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`

Part b) we know that

A popsicle stick is 15.2 cm tall

To find out the number of popsicle sticks divide the height of the model by 15.2

`(48)/(15.2)= (480)/(152)=(60)/(19)\ popsicle\ sticks`

Convert to mixed number

`(60)/(19)\ popsicle\ sticks=(57)/(19)+(3)/(19)=3(3)/(19)\ popsicle\ sticks`