Question

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

Answer 1

he had 40 biscuits in the beginning

Step-by-step 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

`\begin{gathered} if \\ 32\text{ biscuits}\rightarrow(4)/(5)of\text{ total } \\ then \\ x\text{ biscuits}\rightarrow total\text{ \lparen1\rparen} \end{gathered}`

so, the proportion is

`\begin{gathered} \frac{32}{(4)/(5)\text{ }}=(x)/(1) \\ (160)/(4)=x \\ x=40 \end{gathered}`

therefore,

he had 40 biscuits in the beginning

I hope this helps you