Ratio, Proportion, And Percent Worksheet With Answers Page 6
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1
2
3
4
5
614. (4) 18
To obtain the lowest common
2. a. 11:12
He missed 4 items, so he got
44 correct. 44:48 = 11:12
denominator, think of the multiples of the
denominators 6, 3, 9, and 2, and choose the
b. 1:12
Reduce 4:48.
lowest common multiple.
c. 11:1
Reduce 44:4.
1
1
13
6
6 =
=
15. (4) 19
Multiply: 3
3. a. 3:1
Reduce 246:82.
2
4
4
1
78
= 19
1
246 customers/6 hours =
b. 41
4
2
16. (1) a pedicure
Find the amount of time
41 customers per hour
$855
needed to complete 1 permanent and
4. (5)
Divide the amount of money
(36 + 40)
1
1
1
1
2 haircuts: 1 +
+ = 2 . Subtract from
earned by the total hours.
4
2
2
4
1
3
= . Evaluate each of the
3 hours: 3
2
4
4
3
Working with Proportions
choices to see which will take
hour
4
Skill Practice, page 115
(45 minutes) or less. Choice (1) will take
width
=
6 = 16
6
10
2
2
1. (3) 17
10
10
of an hour, or 40 minutes.
10
x
3
length
3
17. (3) 1:10
.
.
There are several ways to
flour
=
6 = 2
P
M
6
4
2. (1) 2
3
4
x
butter
3
approach the problem, but whatever method
dollars
=
218.75
x
3. (4) $350.00
you use, you will eventually have to change
40
hours
25
25 = 350
218.75
40
the fractions of an hour to minutes.
savings
Method 1: Add the times from the chart:
300
5
5
=
x
4. (5)
earnings
50
300
50
1
1
2
7
1
+ 1 + = 1
= 2 hour. Since there are
4
4
3
6
6
cost
34.14
7
$34.14
x
=
5. (1)
60 minutes in an hour, hour = 10 minutes.
1
gallon
3
7
3
6
The work takes 2 hours 10 minutes. Since Tracy
Skill Practice, page 117
began at 11:00
.
., she is finished at 1:10
.
.
A
M
P
M
cm
1
=
x
Method 2: Change the times to minutes from
1. 7 cm
km
25
175
1
hour = 15 minutes, 1 hour =
1
the start:
1
inch
5
1
=
4
4
2
2. 198 miles
2
hour = 40 minutes.
x
miles
36
1 hour 15 minutes,
3
children
5
=
x
Add the amount of time: 15 min + 1 hr 15 min
3. 40 children
people
(5+2)
56
+ 40 min = 1 hr 70 min = 2 hr 10 min. Tracy
shop sales
1
=
x
4. 20 shop sales
total sales
(1+8)
180
is finished at 1:10
.
.
P
M
15
2
18. (2)
Subtract the whipped cream used
6
6
Geography Connection, page 117
for the topping from the total whipped cream by
Water covers about 1,725 square miles in
converting the unlike fractions into like fractions
North Dakota.
Cross multiply, then divide:
with the lowest common denominator of 6.
400 = 1,725.
69,000
10
2
19. (4)
The artisans have already woven
5
45 out of 75 rugs, which means they have
Working with Percent
30
2
30 left to weave.
reduces to
.
Skill Practice, page 119
75
5
1
20. (1) 5
You need to divide 42 by 7
inches.
2
1. 252
You can use either decimals or fractions.
2. 315
7.5 = 5.6.
Using decimals: Divide: 42
3. $88.20
Ignore the decimal remainder, since the
4. 80%
situation calls for whole lengths of the pipe.
5. 90%
1
7 =
Using fractions: Divide: 42
6. 75%
2
15
2
84
9
3
= 42
=
= 5
= 5 .
42
7. 64 children
2
15
15
15
5
Again, ignore the fraction.
8. 30%
21. (3) $0.97
Remember that a dollar has
25
272
9. (4)
100
100 parts, and think in terms of fractions
of a hundred. Convert the fractions to
Skill Practice, page 121
1
+
3
+ +
2
1
=
decimals, then add:
2
= 8.
1. 8 hours
Solve for the whole:
4
10
5
50
0.25
$0.25 + $0.30 + $0.40 + $0.02 = $0.97.
2. 15%
Solve for the percent:
= .15 = 15%.
1.2
8
3. (1) 6
0.2
Solve for the part using the
PROGRAM 32: RATIO, PROPORTION,
Rate = Part.
percent formula: Whole
AND PERCENT
Use 0.2 for 20%.
16
4. (3)
Solve for the rate using the percent
Working with Ratios
40
Whole = Rate.
formula: Part
Skill Practice, page 113
26.4
100
75
5. (2)
Set up a proportion to solve
1. a. 3:5
Reduce
.
55
125
=
55
26.4
75
for the whole:
.
b. 3:8
Reduce
.
x
(75 + 125)
100
315
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