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$12
, which is one-fourth of the total cost of the game. How much does the game cost?
EXPLANATION
We can use an equation to model this problem.
The fraction of the game's cost
that Pablo has saved
×
The cost of
the game
=
The amount of the money
Pablo has saved
We plug in the given values. We'll use the variable
v
for the unknown value.
×14v
=12
In this equation,
v
is multiplied by
14
.
We can undo this by multiplying both sides by the reciprocal
4
.
××4 14v
= ×4 12
×1v
= 48
v
= 48
ANSWER
The cost of the game is
$48
.
Donna is on her way home in her car. She has driven
15
miles so far, which is three-fifths of the way home. What is the total length of her drive?
EXPLANATION
We can use an equation to model this problem.
The fraction of the drive that
Donna has driven so far
×
The total length
of her drive
=
The number of miles
she has driven so far
We plug in the given values. We'll use the variable
y
for the unknown value.
×35y
=15
In this equation,
y
is multiplied by
35
.
We can undo this by multiplying both sides by the reciprocal
53
.
××53 35y
= ×53 15
×1y
= 25
y
= 25
ANSWER
The total length of Donna's drive is
25
miles.
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