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sophie and marcos are each saving for a new bicycles. so far sofia has $10 saved and can earn $5 per hour walking dogs. marcos has $4 saved and can earn $8 per hour at his family's plant nursery. let x be the number of hours walking dogs and let the total amount of money earned

Respuesta :

Answer:

The number of hours of walking dogs is 2 hours

The total amount of money earn is $26  

Step-by-step explanation:

Given as :

The Amount of money save by Sofia = $10

The money earn by Sofia at the rate of per hour walking dog = $5 per hour

The Amount of money save by Macros = $4

The money earn by Macros at the rate of per hour walking dog = $8 per hour

Let the number of hours of walking dogs = x hours

And Let the total amount of money earn = $A

Now, According to question

The Amount of money save by Sofia + The money earn by Sofia at the rate of per hour walking dog = The Amount of money save by Macros + The money earn by Macros at the rate of per hour walking dog

So,

$10 + $5 × x = $4 + $8 × x

Or, $10 - $ 4 =  $8 × x  -  $5 × x

Or, $6 =  $3 × x

∴   x = [tex]\dfrac{6}{3}[/tex]

i.e x = 2

So, the number of hours of walking dogs = x = 2 hours

Hence, The number of hours of walking dogs is 2 hours

Now, Again

The Total amount of money earn = Amount of money earn by Sophie +  Amount of money earn by Macros

i.e $A = $8 × x + $5 × x

or, A = $8 × 2 + $5 × 2

or, A = $16 + $10

or, A = $26

So,The total amount of money earn = A = $26

Hence, The total amount of money earn is $26  Answer

Answer:

Step-by-step explanation:

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