Question

Tracey paid $170 for an item that was originally priced at $570. What percent of the original price did Tracey pay?

Answer 1

Data

• Paid: $170

,

• Original price: $570

Procedure

If we consider our original price as $570, this is our 100%. Then, we have to build a relation to know the percentage of $170 in $570.

In one side of the equation, we will represent the 100%, while in the other will be x% (percentage of 170 in 570):

`(570)/(100\%)=(170)/(x\%)`

Then, to solve for x we have to multiply both sides of the equation times x:

`x*(570)/(100)=(170)/(x)* x`
`x*(570)/(100)=170`

Now, we have to multiply both sides of the equation times (100/570):

`x*(570)/(100)*(100)/(570)=170*(100)/(570)`
`x*1=170*(100)/(570)`
`x=170*(100)/(570)`

Finally, we solve our equation:

`x=(17,000)/(570)`
`x\approx29.82\%`

Answer: 29.82%