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):

$\frac{570}{100\%}=\frac{170}{x\%}$

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

$x\times\frac{570}{100}=\frac{170}{x}\times x$$x\times\frac{570}{100}=170$

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

$x\times\frac{570}{100}\times\frac{100}{570}=170\times\frac{100}{570}$$x\times1=170\times\frac{100}{570}$$x=170\times\frac{100}{570}$

Finally, we solve our equation:

$x=\frac{17,000}{570}$$x\approx29.82\%$

Answer: 29.82%