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3 years ago

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The regular price of a smart phone is represented by x. When an upgraded phone is released, the new price is 25% more than the o

lder model. The upgraded phone's price can be represented by which expression?
A) .25x
Eliminate
B) 1.25x
C) 1.75x
D) x + .75x

2 answers:

Alex73 [517]3 years ago

6 0

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Regular price of a smart phone be x

According to question, the new price is 25% more than the older model.

So, New price becomes

$\frac{100+25}{100}\times x\\\\=\frac{125}{100}\times x\\\\=1.25\times x\\\\=1.25x$

The upgraded phone's price can be represented by 1.25x.

Hence, Option 'B' is correct.

VARVARA [1.3K]3 years ago

3 0

1.25x

because 25% can be represented as 0.25. so as the new price would be 125% of the old one its 1.25x

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Combine the terms by multiplying into a single fraction.

$\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 }$

Find the common denominator.

$\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14 }$

Combine fractions with the lowest common denominator.

$\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14 }$

Multiply the numbers.

$\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14 }$

Combine the multiplied terms into a single fraction

$\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14 }$

Find the common denominator.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4} }$

Combine fractions with the lowest common denominator.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4} }$

Multiply the numbers.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4} }$

Eliminate the denominators of the fractions.

$\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4} }$

Cancel the multiplied terms that are in the denominator.

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To distribute.

$\bf{10x-28=3x+56 }$

Add 28 to both sides.

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Divide both sides by the same factor.

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$\bf{x=12 \ \ \ === > \ \ \ Answer}$

↓

<h3>Verification</h3>

Let x=12.

$\bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3\times12}{4}+14 }$
$\bf{30-7=\dfrac{36}{4}+14 }$
$\bf{30-7=9+14 }$
$\bf{23=9+14 }$
$\bf{23=23}$

Checked ✅

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