Tax and tip word problems

Google Classroom

Problem

Camacho is buying a monster truck. The price of the truck is $x$x dollars, and he also has to pay a $13\%$13, percent monster truck tax.

Which of the following expressions could represent how much Camacho pays in total for the truck?

Choose 2 answers:

Choose 2 answers:

• (Choice A, Checked, Correct)

  CORRECT (SELECTED)

  $(1+0.13)x$left parenthesis, 1, plus, 0, point, 13, right parenthesis, x
• (Choice B, Incorrect)

  INCORRECT

  $\dfrac{13}{100}x$start fraction, 13, divided by, 100, end fraction, x

  This is the amount of the tax for the monster truck.
• (Choice C, Incorrect)

  INCORRECT

  $13x$13, x

  $13\%$13, percent means $13$13 per hundred, which we can write as $0.13$0, point, 13, not as $13$13. So when we combine like $x$x-terms, we should add $1$1 and $0.13$0, point, 13 instead of $1$1 and $13$13.
• (Choice D, Checked, Correct)

  CORRECT (SELECTED)

  $1.13x$1, point, 13, x
• (Choice E, Incorrect)

  INCORRECT

  $13x+x$13, x, plus, x

  $13\%$13, percent means $13$13 per hundred, which we can write as $0.13$0, point, 13, not as $13$13.

Hint #11 / 5

The tax is $13\%$13, percent of the price $x$x of the truck.

So Camacho has to pay $\greenD{13\%\cdot x}$start color #1fab54, 13, percent, dot, x, end color #1fab54 dollars of tax.

Hint #22 / 5

That means that he pays a total of $\maroonD{x}+\greenD{13\%\cdot x}$start color #ca337c, x, end color #ca337c, plus, start color #1fab54, 13, percent, dot, x, end color #1fab54 for the truck.

Hint #33 / 5

Because $13\%$13, percent means $13$13 per hundred, we can write it in equivalent forms.

$\begin{aligned} 13\%&=\dfrac{13}{100}\\\\ &=0.13 \end{aligned}$

Hint #44 / 5

Let's find equivalent ways of writing the amount Camacho pays in total for the monster truck.

$\begin{aligned} x+\blueD{13\%}\cdot x&=x+\blueD{0.13} x\\\\ &=\left(1+0.13\right)x\\\\ &=1.13x \end{aligned}$

Hint #55 / 5

The expressions $\left(1+0.13\right)x$left parenthesis, 1, plus, 0, point, 13, right parenthesis, x and $1.13x$1, point, 13, x each could represent how much Camacho pays in total for the truck.