Question

What percent of 75 is 40

Answer 1

The answer is: " 53
`(1)/(3)` % " .

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→ " 53
`(1)/(3)` % " of 75 is "40" .

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Step-by-step explanation:

To solve:

`(x)/(100)` * 75 = 40 ;

→ Rewrite as:

`(x)/(100)` *
`(75)/(1)` = 40 ;

→ The "100" cancels to "4" ; and the "75" cancels to "3" ;

→ {since: "{100 ÷ 25 = 4}" ; and since: "{75 ÷ 25 = 3"} ;

→ So; we rewrite the problem as:

→
`(x)/(4)` *
`(3)/(1)` = 40 ;

→ which is:

`(x)/(4)` * 3 = 40 ;

→ Divide each side of the equation by "3" ;

`(x)/(4)` * 3 ÷ 3 = 40 ÷ 3 ;

to get:

→
`(x)/(4)` =
`(40)/(3)` ;

Now, cross-multiply:

→ 3x = (4)*(40) ;

→ 3x = 160 ;

Divide each side of the equation by "3" ;

to isolate "x" on one side of the equation; & to solve for "x" ;

→ 3x / 3 = 160 / 3 ;

to get:

→ x = 53
`(1)/(3)` .

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