## chelseachels 2 years ago I've been stuck on this for like an hour. Please Help. After a 10% reduction you purchase a new television for \$414.00. What was the price before the reduction?

1. ZeHanz

If you realise you bought it for 90% of the original price, you should be able to work that back to 100%.

2. hutchy22

\$455.40

3. chelseachels

I have to come up with the formula and the answer.

4. ZeHanz

5. chelseachels

If you show me how to work it I can figure out the answer.

6. Brittni0605

Think to yourself, 10% off of what original price is \$414.00?

7. hutchy22

@ZeHanz I am sorry what did you want me to do I just went to Google and typed in the question...

8. ZeHanz

A formula? I would think a reasoning that explains it will do. It is of course possible to work with formulas, but I think it is better to try to understand what's going on before doing that.

9. phi

Here is one way After a 10% reduction you purchase a new television for \$414.00. Price - 10% of Price = 414.00

10. Luis_Rivera

|dw:1359680697101:dw|

11. ZeHanz

@hutchy22: Anyone could Google it. That is not the point. The point is: people ask questions here to get explanations, and to learn to understand the problems.

12. chelseachels

Is it \$414.10?

13. phi

as an equation Price - 10% of Price = 414.00 write it as P- 0.10*P = 414.00 factor out the P. can you do that ?

14. hutchy22

Sorry I am new on here I didn't know:( @ZeHanz

15. Luis_Rivera

kk

16. ZeHanz

My way of doing it would be: OK, I know that 90% is 414. So then I can easily calculate how much money 10% is. How? Once I'va got that, going back to 100% is easy.

17. phi

no, not 414.10 (414.10 down to 414 is 10 cents off. 10% is different)

18. ZeHanz

SO to go from 90% to 10%, that is 9 times smaller, so divide 414 by 9. Result:46. Now multiply this \$46 (which is 10%) by 10 to get the original amount.

19. ZeHanz

@hutchy22: It's OK!

20. ZeHanz

@phi: look ma, no formulas! ;)

21. chelseachels

Thanks so much.

22. ZeHanz

You're welcome!

23. phi

an equation is just writing down on paper what you did.