Alex has a truck. 42% of the miles he drove last month were for work. If Alex drove 588 miles for work, how many miles did he drive last month all together?

Respuesta :

Answer:

Alex has driven Total of 1400 miles.

Step-by-step explanation:

Given:

Miles Driven by Alex = 588 miles

Percentage mile driven by Alex = 42%

Solution:

Let the total miles driven by Alex be 'x'.

And given that 42% of the total miles he drive for work, which is 588 miles.

That means x multiplied with 42% is equal to 588.

So framing the above sentence in equation form, we get;

[tex]x\times 42\% =588[/tex]

Now we have to remove the percentile.

For this we have to divide 42 by 100, then we get;

[tex]x\times\frac{42}{100} = 588[/tex]

Multiplying by 100 on both side, using Multiplication Property we get;

[tex]x\times\frac{42}{100}\times 100 = 588\times 100\\\\42x=58800[/tex]

Dividing both side by 42 using Division Property we get;

[tex]\frac{42x}{42}=\frac{58800}{42}\\\\x= 1400 \ miles[/tex]

Hence Alex has driven Total of 1400 miles.

Answer: 1,400

Step-by-step explanation:%

100

=  

part

whole

42

100

=  

588

x

42x = 58,800

x = 1,400

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