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Let’s check out your problem:
Type the missing number to complete the proportion.
\newline
4
4
4
minutes for
1
1
1
song =
8
8
8
minutes for
_
_
\_\_
__
songs
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Math Problems
Grade 6
Equivalent rates
Full solution
Q.
Type the missing number to complete the proportion.
\newline
4
4
4
minutes for
1
1
1
song =
8
8
8
minutes for
_
_
\_\_
__
songs
Identify Relationship:
Identify the relationship given in the problem.
\newline
4
4
4
minutes for
1
1
1
song means the rate is
1
1
1
song per
4
4
4
minutes.
Set Up Proportion:
Set up the proportion to find the number of songs for
8
8
8
minutes.
\newline
Using the rate, if
4
4
4
minutes
=
1
= 1
=
1
song, then
8
8
8
minutes
=
x
= x
=
x
songs.
Solve Proportion:
Solve the proportion.
\newline
4
minutes
1
song
=
8
minutes
x
songs
,
\frac{4 \text{ minutes}}{1 \text{ song}} = \frac{8 \text{ minutes}}{x \text{ songs}},
1
song
4
minutes
=
x
songs
8
minutes
,
\newline
Cross multiply to find
x
x
x
,
\newline
4
x
=
8
,
4x = 8,
4
x
=
8
,
\newline
x
=
8
4
,
x = \frac{8}{4},
x
=
4
8
,
\newline
x
=
2.
x = 2.
x
=
2.
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