Solved Examples and Worksheet for Equivalent Ratios Using Proportional Relationships
Q1
Find the value of
n
, if the two ratios
3
10
and
n
20
are equal.
A
. 6
B
. 5
C
. 4
D
. 8
Solutions
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Step: 1
3
10
=
n
20
[Original proportion.]
Step: 2
10 ×
n
= 3 × 20
[Write the cross products.]
Step: 3
10
n
= 60
[Multiply.]
Step: 4
1
0
n
1
0
=
60
10
[Divide each side by 10.]
Step: 5
n
= 6
[Simplify.]
Step: 6
The value of
n
is 6.
Correct Answer is :
6
Q2
Find the value of
n
, if the two ratios
29 : 30
and
n
: 60
are equal.
A
. 63
B
. 58
C
. 53
D
. 60
Solutions
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Step: 1
29
30
=
n
60
[Original proportion.]
Step: 2
29 × 60 = 30 ×
n
[Write the cross products.]
Step: 3
1740 = 30
n
[Multiply.]
Step: 4
1740
30
=
3
0
n
3
0
[Divide each side by 30.]
Step: 5
58 =
n
[Simplify.]
Step: 6
The value of the
n
is 58.
Correct Answer is :
58
Q3
Are
4
2
and
12
6
equal?
A
. Yes
B
. No
Solutions
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Step: 1
4
2
?=
12
6
[Write as a proportion.]
Step: 2
4 × 6 ?= 12 × 2
[Write the cross products.]
Step: 3
24 = 24
[Simplify and compare.]
Step: 4
Yes, the ratios form a proportion.
Correct Answer is :
Yes
Q4
Identify the pair of proportions that are equivalent to the ratio
72 : 99.
A
.
8
11
and
40
55
B
.
9
11
and
18
22
C
.
8
11
and
32
54
D
. None of the above
Solutions
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Step: 1
The pair of proportions equivalent to the ratio 72:99 are
8
11
and
40
55
.
Correct Answer is :
8
11
and
40
55
Related Worksheet
Calculating Unit Rates-Gr 7-Solved Examples
Applying Proportional Relationships-Gr 7-Solved Examples
Application of Proportions involving Unit Prices-Gr 7-Solved Examples
Using Graphs and Tables to represent Proportional Relationships-Gr 7-Solved Examples
Related Topic
Equivalent Ratios
HighSchool Math
Grade 6
Grade 7
Grade 8