Question

homework 5.3
reminder:
complete hw on looseleaf with a proper
heading.
show all work. be sure to answer both
parts of each question.
write your # in the top right corner of the
paper. (-5 points if missing)

1. a jacket costs $40. what is 25% of the price ?

what does your answer represent: the part or the whole?

1. a pair of sneakers costs $60. find 15% of the price .

explain how you know which number is the part and which is the whole.

1. a video game costs $48. what is 50% of the price ?

use a strategy other than a calculator to explain your thinking.

1. a backpack costs $72. what is 20% of the price ?

show your work using an equation.

1. a hoodie costs $35. what is 10% of the price ?

explain what 10% means in this situation.

1. a pair of headphones costs $90. find 30% of the price .

write a sentence explaining what your answer means in context.

Explanation:

Step1: Convert 25% to decimal

$25\% = 0.25$

Step2: Calculate 25% of $40$

$\$40 \times 0.25 = \$10$

Step3: Identify part/whole

The answer $\$10$ is the part.

Step1: Convert 15% to decimal

$15\% = 0.15$

Step2: Calculate 15% of $60$

$\$60 \times 0.15 = \$9$

Step3: Identify part/whole

$\$9$ is the part; $\$60$ is the whole (the full price).

Step1: Recognize 50% as half

$50\% = \frac{1}{2}$

Step2: Calculate half of $48$

$\frac{\$48}{2} = \$24$

Step1: Convert 20% to decimal

$20\% = 0.2$

Step2: Set up solve equation

Let $x = 20\% \text{ of } \$72$
$x = \$72 \times 0.2$
$x = \$14.40$

Step1: Convert 10% to decimal

$10\% = 0.1$

Step2: Calculate 10% of $35$

$\$35 \times 0.1 = \$3.50$

Step3: Explain 10% meaning

10% equals $\frac{1}{10}$ of the full price.

Step1: Convert 30% to decimal

$30\% = 0.3$

Step2: Calculate 30% of $90$

$\$90 \times 0.3 = \$27$

Step3: Context explanation

$\$27$ is 30% of the headphones' full price.

Answer:

1. $\$10$; this represents the part.
2. $\$9$; $\$9$ is the part, $\$60$ (the full sneaker price) is the whole.
3. $\$24$
4. $\$14.40$
5. $\$3.50$; 10% means one-tenth of the hoodie's full $\$35$ price.
6. $\$27$; $\$27$ is 30% of the full $\$90$ cost of the headphones.