Question

A builder buys 24.5 acres of land to develop a new community of homes and parks. The builder plans to use 0.25 of the land for a park. How many acres wil he use for the park?

Answer 1

`6 1/8" acres "->6.125 " acres"`

Explanation:

`color(blue)("Shortcut method")`
Known:`" "0.25 " is the same as "1/4`

Total land available is `24.5`

So land allocated for a park is `color(blue)( 1/4xx24.5= 6 1/8)`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("To do this in your head consider this method:")`

`1/4` is `1/2" and "1/2" again"`

Known that `24.5` is the same as `24+ 1/2`
'....................................................

`1/2" and "1/2" again of " 24`

First `1/2 ->12`
`color(brown)("Second "1/2-> 6)`
'.....................................................

`1/2" and "1/2" again of " 1/2`

First `1/2-> 1/4`
`color(brown)("Second "1/2->1/8)`
'...................................................
`color(blue)("Putting it all together")`

`color(brown)( 6 + 1/8 -> 6 1/8)`