Question

4. 80% of x is equal to 100.​

Answer 1

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

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} *{ \it x} = 100`

Now solve for x. That would be the result.

Steps:

`\implies\tt \cfrac{80}{100} *{ \it x} = 100`

Convert 80/100 into Decimal:

`\tt\implies0.8 * \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.