So in order to get the small rectangle big we need a whole number bigger that 1 or an improper fraction so let's cross out the answer choices that don't meet the above requirements!!
A and C are not improper fractions and are less than 1 so they're wrong!!
We can solve by making an equation,
[tex]80x = 500[/tex]
So 80 × what will give us 500.
We can do this two ways and I'll show you both!!
[tex] \frac{80x}{80} = \frac{500}{80} [/tex]
We can divide both sides by 80 and get,
[tex]x = \frac{25}{4} = 6.25[/tex]
Which is answer choice B which makes sense since answer choice D is too small.
Or, we can plug in our two answer choices and see if it checks out to be 500!!
[tex]80( \frac{25}{4} ) = 500[/tex]
The above statement is true!!
[tex]80( \frac{5}{2} ) = 500[/tex]
The above statement is false since 80 × 5/2 = 200, not 500, the number we need!!
