Bruce saved $ 35.00 to buy a new video game. The game's original price was $ 42.00 , but it was on sale for 30% off. The sales tax rate was 5%. Did Bruce have enough money to buy the game? Explain.

Respuesta :

Bruce have $35 which is greater than amount to be paid i.e. $30.87 . So , Bruce have enough money to buy the game .

Step-by-step explanation:

Here we have , Bruce saved $ 35.00 to buy a new video game. The game's original price was $ 42.00 , but it was on sale for 30% off. The sales tax rate was 5%.  We need to find Did Bruce have enough money to buy the game .Let's find out:

We have , Bruce saved $ 35.00 to buy a new video game . The game's original price was $ 42.00 , but it was on sale for 30% off. i.e.

Price = [tex]Original price - \frac{Original-price(30)}{100}[/tex]

⇒ [tex]42-\frac{42(30)}{100}[/tex]

⇒ [tex]42-\frac{1260}{100}[/tex]

⇒ [tex]42-12.6[/tex]

⇒ [tex]29.4[/tex]

Now,  The sales tax rate was 5%. So , total amount to be paid is :

⇒ [tex]29.4 + \frac{29.4(5)}{100}[/tex]

⇒ [tex]29.40 +1.47[/tex]

⇒ [tex]30.87[/tex]

Bruce have $35 which is greater than amount to be paid i.e. $30.87 . So , Bruce have enough money to buy the game .