Question

Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Write an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny.

x - 0.07x = 45; $48.39

0.7x = 45; x = $64.29

7x = 45; x = $6.43

x + 0.07x = 45; x = $42.06

Answer 1

@ganeshie8 @Hero @ParthKohli

Answer 2

so if you go the store with $45 and say the camera has a sticker price of $45, can you afford it?

Answer 3

yes

Answer 4

well, no because it will include the tax

Answer 5

well.. what about when you show up at the counter, and the clerk asks you for the tax =) right

Answer 6

and if the base price is 45 but the tax is let's say 3.50? then i can't afford it so yeah

Answer 7

so... you can't do with $45.... you really need THAT $45 to be, the STICKER PRICE of the camera PLUS TAX already

Answer 8

ok so i need to multiply 45 by 0.07

Answer 9

the tax will equal 3.15 right?

Answer 10

so... whatever the camera may cost, plus tax, should be 45

so let's use see what 7% of something is so
\(\large { {\color{red}{ 7}}\%\ of \ camera=\cfrac{{\color{red}{ 7}}}{100}\times camera \iff tax\qquad thus
\\ \quad \\

\begin{array}{rllll}
camera\\
+\frac{{\color{red}{ 7}}}{100}\times camera\\
\hline\\
total\ price
\end{array} }\)

and then we know that \(\bf \cfrac{7}{100}\to 0.07\qquad thus \qquad \cfrac{7}{100}camera\to 0.07camera\)

so one can say that \(\large \begin{array}{rllll}
camera\\
+0.07\times camera\\
\hline\\
45
\end{array}\)

Answer 11

and if we use "x" for the camera
then one can say that the price of it will be "x" and the equation then

0.07x+x=45

Answer 12

So it's D

Answer 13

yeap

Answer 14

Thanks! :)

Answer 15

yw