jiyapat1031 jiyapat1031
  • 16-12-2019
  • Mathematics
contestada

one half the cost of a dress decreased by $12 is the same as 2/5 the cost of a dress. What is the cost of the dress?

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TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 28-12-2019

Answer:

$120

Step-by-step explanation:

Let the cost of the dress be "c"

ONE HALF the cost DECREASED by 12, can be written as:

[tex]\frac{1}{2}c-12[/tex]

2/5th the cost of dress, can be written as:

[tex]\frac{2}{5}c[/tex]

Now, we equate both parts and solve for c to get cost of dress. Shown below:

[tex]\frac{1}{2}c-12=\frac{2}{5}c\\\frac{1}{2}c-\frac{2}{5}c=12\\\frac{5-4}{10}c=12\\\frac{1}{10}c=12\\c=\frac{12}{\frac{1}{10}}\\c=12*10\\c=120[/tex]

Thus,

The ccost of the dress is $120

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