Question

A while back, Mandy paid a car insurance premium of $5,940 per year. Now she pays 5% less. What does Mandy pay now?

Answer 1

$ 5643

Step-by-step explanation

to solve this we can use a rule of three

so

Step 1

a) set the proportion

Let x represents the price Mandy pays now

so

`\begin{gathered} if \\ 100\text{ \%}\Rightarrow5940 \\ (100-5)\text{ \% }\Rightarrow x,so \\ 95\text{ \%}\Rightarrow x \end{gathered}`

som the proportion is

`(5940)/(100)=(x)/(95)`

b) solve for x

to do that, multiply both sides by 95

`\begin{gathered} (5940)/(100)*95=(x)/(95)*95 \\ 5643=x \end{gathered}`

so, Mandy pays $ 5643 now

I hope this helps you