Answer :

Answer:

x = 1851851.851....

Step-by-step explanation:

Given statement:

2.7% of x equals 50,000.

When we convert the statement into an equation, we get;

⇒ 2.7% × x = 50,000

A percentage is always written as (Percent)/100 in fraction form. Thus;

⇒ 2.7/100 × x = 50,000

Using cross multiplication:

  • ⇒ 2.7 × x = 50,000 × 100
  • ⇒ 2.7 × x = 5,000,000

To determine the value of x, we need to isolate it. This can be done by dividing the cooeficient of x both sides.

Divide both sides by 2.7

  • ⇒ (2.7 × x)/2.7 = 5,000,000/2.7
  • ⇒ x = 1851851.851....
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Answer:

Percent in decimal form:

[tex]\sf 2.7\% = \dfrac{2.7}{100} = 0.027[/tex]

Therefore:

27% of X = 50000

[tex]\sf \implies 0.027 \cdot X=50000[/tex]

[tex]\sf \implies X=\dfrac{50000}{0.027}[/tex]

[tex]\sf \implies X=\dfrac{50000 \times 1000}{0.027 \times 1000}[/tex]

[tex]\sf \implies X=\dfrac{50,000,000}{27}\quad \textsf{(as a fraction)}[/tex]

[tex]\sf \implies X=1,851,852\quad \textsf{(nearest whole number)}[/tex]

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