Bentley has 32 biscuits left in his treat jar. If this represents 4/5 of what he orginally had in the jar, how may treats did he have in the beginning

Respuesta :

he had 40 biscuits in the beginning

Explanation

to solve this we can use a rule of three

so

Step 1

let x represents the total treats he had in the beginning , so

[tex]\begin{gathered} if \\ 32\text{ biscuits}\rightarrow\frac{4}{5}of\text{ total } \\ then \\ x\text{ biscuits}\rightarrow total\text{ \lparen1\rparen} \end{gathered}[/tex]

so, the proportion is

[tex]\begin{gathered} \frac{32}{\frac{4}{5}\text{ }}=\frac{x}{1} \\ \frac{160}{4}=x \\ x=40 \end{gathered}[/tex]

therefore,

he had 40 biscuits in the beginning

I hope this helps you