Name:Tablet cost $300 and the MP3 player is $120SALEPart CLeah wants a tablet and Darnell wants an MP3 player.The sales tax in their city is 9%. Leah has saved $350.Darnell has saved $140. Will each person be able to buythe item that he or she wants? Explain.Tablets 20% off theselling price!MP3 players 25% off theselling price!

Respuesta :

Leah either can buy the tablet or the mp3 player.

Darnel is able to buy only the mp3 player.

1) If the sales tax is 9% then the cost will be increased by 9% for the customers (Leah and Darnell)

2) Note that there is a discount for the tablets (20%) and mp3 players (25%)

So, we can write out the following for the tablet

[tex]\begin{gathered} 300*(1-0.2)*(1+0.09)= \\ 240*(1.09)=\$261.60 \\ mp3\:player: \\ 120*(1-0.2)*(1+0.09) \\ 96*(1.09)=\operatorname{\$}114.06 \end{gathered}[/tex]

3) As we can see since Leah has saved $350, She cannot buy both, she either can buy the tablet or the mp3 player.

Darnel is able to buy only the mp3 player with the money he's saved.