Question

4. 80% of x is equal to 100.​

Answer 1

Answer:

The value of $x$ would be $\boxed{\tt 125}$.

Step-by-step explanation:

Question:

80% of x is equal to 100.

We need to set an equation and then we need to solve for x.

Solution:

We know that ,

• 80% means 80/100(Percent means 1/100)
• "Of" in mathematics means "times"(×)
• Equal , in simple means "=" .

So set up an equation:

$\tt \cfrac{80}{100} \times{ \it x} = 100$

Now solve for x. That would be the result.

Steps:

$\implies\tt \cfrac{80}{100} \times{ \it x} = 100$

Convert 80/100 into Decimal:

$\tt\implies0.8 \times \it{x} =\tt 100$

Multiply 0.8 and x:

$\tt \implies0.8\it {x }\tt= 100$

Divide both sides by 0.8:

$\tt \implies \cfrac{0.8\it{x}}{0.8} \tt = \cfrac{100}{0.8}$

Simplify( or cancel) the RHS and LHS:

$\tt \implies \cfrac{ \cancel{0.8}\it{x}}{ \cancel{0.8}} = \cfrac{1000}{08}$

$\tt\implies \cfrac{1\it{ x}}{1} = \cfrac{1000}{8}$

$\tt \implies 1\it {x} = \tt \cfrac{ \cancel{1000} \: {}^{ \cancel{500} \: {} {}^{ \cancel{250}} \: {}^{125} } }{ \cancel8 {}^{{ \cancel4} } \: ^{ \cancel{2} \: {}^{1} }}$

$\tt \implies{\it x} = \cfrac{125}{1}$

$\tt\implies{\it x} = \boxed{\tt125}$

We're done!

Hence, the value of x would be 125.

$\rule{225pt}{2pt}$

I hope this helps!

Let me know if you have any questions.