Question

Mr.Richards saved $37 by buying his sneakers at the outlet store. He paid $3 less than half the original price of the sneakers. How much did Mr. Richards pay for the sneakers at the outlet store?

Answer 1

Mr Richards paid 80 dollars

Answer 2

Let, the original price of the sneakers be $x.

Given, Mr. Richard paid $3 less that half of the original price.

Half of the original price = $
`(x)/(2)`

So Mr. Richard paid = $
`((x)/(2)-3)`

By buying the sneakers Mr. Richard saved = $37.

That means the subtraction of the original price and the amount Mr. Richard paid is $37.

So we can write the equation as,

`x-((x)/(2)-3) = 37`

`x-(x)/(2)+3 = 37`

To solve it for x, first we have to move 3 to the right side by subtracting it from both sides, we will get,

`x-(x)/(2)+3-3 = 37-3`

`x-(x)/(2)= 37-3`

`x-(x)/(2) = 34`

We will subtract the left side now. To subtract fractions we will make the denominators same. Here 2 is the denominator. To make the denominator of x as 2, we will multiply the numerator and denominator of x by 2. So we can write x as
`(2x)/(2)`.

`(2x)/(2) - (x)/(2) = 34`

`((2x-x))/(2) = 34`

`(x)/(2)= 34`

Now we will multiply both sides by 2 to get x.

`((x)/(2))(2) = (34)(2)`

`x = (34)(2)`

`x = 68`

So, the original price = $68.

Mr. Richard paid = $(
`((68)/(2) -3)` =$
`(34-3)`= $
`31`

So we have got the required answer.

Mr. Richard paid $31 for the sneakers.