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3 years ago

How much money did she have at first

Mathematics

1 answer:

romanna [79]3 years ago

7 0

Step-by-step explanation:

x = the total money she had first.

x - x×1/4 - (x - x×1/4)×1/2 = 15

you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.

now, we can simplify :

(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4

x×3/4 - x×3/4 × 1/2 = 15

x×3/4 - x×3/8 = 15

we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :

x×3×2 - x×3 = 120

6x - 3x = 120

3x = 120

x = $40

she had $40 at the beginning.

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Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

inequality
solving inequality
PEMDAS

<h3>given:</h3>

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few notes about inequality

the direction of the inequality doesn't change if you

Add (or subtract) a number from both sides
Multiply (or divide) both sides by a positive number
Simplify a side

the direction of the inequality does change

if you

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Swapping left and right hand sides

$step - 1 : difine$

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$step - 2 : \\ add \: 3 \: in \: each \: sides$

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$step - 3 : \\ divide \: - 3\: from \: each \: sides \: \\ and \: swap \: the \: inequalily$

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