Frank paid $22.40 for a sweatshirt. It had been discounted by 30%. What was the regular price of the sweatshirt? Solve to build an equation to describe the situation.

Question

Frank paid $22.40 for a sweatshirt.  It had been discounted by 30%.  What was the regular price of the sweatshirt? Solve to build an equation to describe the situation.

anonymous · Answer

22.40 is 70% of the original price
thus 
70%x=22.40
or 0.7x = 22.40
solve we have x = 32

anonymous · Answer

Yep. I only needed an equation, you did it a little backwards.

anonymous · Answer

yes.

anonymous · Answer

lol thats what i thought

anonymous · Answer

i just do these percentage problems forward, and figure them out.

anonymous · Answer

what do you mean? how i understand is that he paid 22.40 for a sweatshirt that was discounted 30%. Is that correct?

anonymous · Answer

Yes..

anonymous · Answer

well then he pays for 70% of the regular price, which is $22.40

anonymous · Answer

correct?

anonymous · Answer

yep. you're doing it correctly.

anonymous · Answer

so then, the price needs to be 32 dollars because a 30% discount of 32 dollars yields 22.40. What was wrong with my reasoning?

hero · Answer

This is a simple problem of finding the number if you you it's percentage..

You could re-write the question as 22.70 is 70%  of what? 

so is/of =%/100 ....22.70/x = 70/100 

Cross Multiply: 

x = 32.43

So anhhuylex was right...

Good job