Chapter 3 Calculations and Applications

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Chapter 3

Calculations and Applications

Do calculations on scrap paper as needed. Worked-out solutions are provided at end.

1.

2.

3.

4.

5.

.006 converted to a percent is _____.

7

17 /

3

14

/

4

22

1

% converted to a decimal is _____.

converted to a percent is _____ (round to the nearest hundredth percent).

/

4

converted to a fraction is _____.

11.4% converted to a fraction is _____.

6.

Twelve out of 29 students in Professor Okimato's class received an "A" grade.

What percent of the class did not receive the "A" grade? (Round to the nearest tenth percent.)

Computer City has yet to receive 70% of its computer order. Computer City 7.

received 90 computers to date. What was the original order?

8.

In 2012, a local Pizza Hut shop had sales of $450,000. In 2013, sales were up

9.

30%. What are the shop's sales in 2013?

The price of a Ford Explorer 9000 increased from $24,500 to $29,000. What was the percent increase? (Round to the nearest hundredth percent.)

Calculations/Applications:

1. .6%

2. .0775

3 77.27%

4. 57/400

5. 57/500

6. 58.6%

7. 300 computers

8. $585,000

9. 18.37%

Worked- Out solutions

2. 7% = .07

3

4

% = .0075

= .0775

3. 77.2727% = 77.27%

6.

12 A’s

29 students

Percent did not receive A

B: 29

R: ?

P: 17

(29 −+12)

4. 14

1

4

% = 57

4

5. 11.4 % → 11 4

10

114

10

×

1

100

=

114

1,000

=

57

500

× 1

100

= 57

400

17

= 58.62%

29

= 58.6%

7.

70% of order not in

90 computers received

Original order

B: ?

R: 30

(100% −70%)

P: 90

Note: 90 computers is 30% of the total, not 70%

8.

2012 $450,000 in sales

2013 Sales up 30%

Sales of 2013

B: $450,000

R: 1.30

(100% +30%)

P: ?

90

. 30

= 300

$450,000

× 1.30

$585,000

Note: The portion is larger than the Base since Rate is greater than 100%

9.

$24,500 old price

$29,000 new price

Percent increase

B: $24,500 (orig)

R: ?

P: $4,500

(diff. In price)

$4,500

= 18.367% = 18.37%

$24,500

Keep in mind: a.

The portion and Rate must relate to same piece of the Base b.

The portion will be larger than the Base if the Rate is greater than 100%

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