Question

marc just bought an Suv for $56,000. This is $7,400 less than twice what his wife paid for her car last year.how mich did his wife pay in dollars for her car?

Answer 1

she paid $31700

Step-by-step explanation

Step 1

set the equations

a)let X represents the amount Marc´s wife paid for her car

so

b) now, translate the words into math terms

i)

marc just bought an Suv for $56,000

`price_(Marc)=56000`

ii)This is $7,400 less than twice what his wife paid for her car last year:

let

`\begin{gathered} twice\text{ what she paid=2x} \\ 7400\text{ less than twice what she paid=2x-7400} \end{gathered}`

`56000=2x-7400\Rightarrow equation`

Step 2

solve the equation.

`\begin{gathered} 56000=2x-7400\Rightarrow equation \\ add\text{ 7400 in both sides} \\ 56000+7400=2x-7400+7400 \\ 63400=2x \\ divide\text{ both sides by 2} \\ (63400)/(2)=(2x)/(2) \\ 31700=x \end{gathered}`

therefore, the answer is

she paid $31700

I hope this helps you