kaitlynngilding1 kaitlynngilding1
  • 01-03-2020
  • Mathematics
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When a number is decreased by 79% the result is 13 what is the original number to the nearest tenth

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calculista
calculista calculista
  • 09-03-2020

Answer:

The number  is 61.9

Step-by-step explanation:

Let

x ----> the original number

Remember that

[tex]100\%-79\%=21\%=\frac{21}{100}[/tex]

we know that

The original number multiplied by the fraction 21/100 must be equal to the number 13

so

The linear equation that model this situation is

[tex]\frac{21}{100}x=13[/tex]

solve for x

Multiply by 100 both sides

[tex]21x=1,300[/tex]

Divide by 21 both sides

[tex]x=\frac{1,300}{21}=61.9[/tex]

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