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HSPT Math : How to add and subtract decimals

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Example Question #1 : Arithmetic Word Problems

The menu of a local coffeehouse reads as follows:

$\begin{matrix} \textrm{Espresso}\; \; \; & \$1.79 \\ \textrm{Cafe Latte} & \$2.19 \\ \textrm{Cappucino} & \$2.29 \\ \textrm{Americano} & \$2.39 \\ \textrm{Turkish\; \; } & \$2.09 \\ \textrm{Iced Tea}\; \; \; & \$1.59 \end{matrix}$ $\displaystyle \begin{matrix} \textrm{Espresso}\; \; \; & \$1.79 \\ \textrm{Cafe Latte} & \$2.19 \\ \textrm{Cappucino} & \$2.29 \\ \textrm{Americano} & \$2.39 \\ \textrm{Turkish\; \; } & \$2.09 \\ \textrm{Iced Tea}\; \; \; & \$1.59 \end{matrix}$

Sandy orders some drinks for herself and some friends. She orders three cappuccinos, two iced teas, two cafe lattes, and an espresso. The sales tax is five percent. How much change does she receive back for a twenty-dollar bill?

Possible Answers:

$\$4.85$ $\displaystyle \$4.85$

$\$4.59$ $\displaystyle \$4.59$

$\$ 2.97$ $\displaystyle \$ 2.97$

$\$3.78$ $\displaystyle \$3.78$

A twenty-dollar bill isn't enough to buy the drinks.

Correct answer:

$\$ 2.97$ $\displaystyle \$ 2.97$

Explanation:

The three cappuccinos cost: $\$2.29 \times 3 = \$6.87$ $\displaystyle \$2.29 \times 3 = \$6.87$

The two iced teas cost $\$1.59 \times 2 = \$3.18$ $\displaystyle \$1.59 \times 2 = \$3.18$

The two cafe lattes cost $\$2.19 \times 2 = \$4.38$ $\displaystyle \$2.19 \times 2 = \$4.38$

The espresso costs $\$1.79$ $\displaystyle \$1.79$.

Add these amounts to get the cost before tax:

$\$ 6.87 + 3.18 + 4.38 + 1.79 = \$ 16.22$ $\displaystyle \$ 6.87 + 3.18 + 4.38 + 1.79 = \$ 16.22$

The tax is five percent of $\$16.22$ $\displaystyle \$16.22$ or:

$\$16.22 \times 0.05 \approx \$ 0.81$ $\displaystyle \$16.22 \times 0.05 \approx \$ 0.81$

Add both values in order to obtain the total cost after tax.

$\$16.22 + 0.81 = \$ 17.03$ $\displaystyle \$16.22 + 0.81 = \$ 17.03$

As a result, the change from a twenty-dollar bill is as follows:

$\$20.00- 17.03= \$ 2.97$ $\displaystyle \$20.00- 17.03= \$ 2.97$

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HSPT Math : How to add and subtract decimals

Study concepts, example questions & explanations for HSPT Math

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Example Question #1 : Arithmetic Word Problems

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