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Molly owes her brother $300.She works for $10 per hour as a checker at the local grocery store.Molly plans to repay her brother half of what she earns after taxes of 20% are taken out.Identify the expression which represents the condition described

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bellbell252
(.5)(.8)(10x) ≤ 300

she gives him half of 80% of her $10 an hour (x is hours) but only until she has given him $300

Answer: The expression which represents the condition described is given as  [tex]4x=300[/tex]

Step-by-step explanation:

Since we have given that

Amount that Molly owes her brother = $300

Let the number of hours she worked as a checker be x

Cost of per hour = $10

Amount she get after doing work for x hours is given by

[tex]10x[/tex]

Rate of tax are taken out = 80%

So, amount she left with is given by

[tex]\frac{100-20}{100}\times 10x\\\\=\frac{80}{100}\times 10x\\\\=8x[/tex]

So, Molly plans to repay her brother half of what she earns is given by

[tex]\frac{8x}{2}=4x[/tex]

According to question,

[tex]4x=300\\\\x=\frac{300}{4}\\\\x=75\ hours[/tex]

So, the expression which represents the condition described is given as

[tex]4x=300[/tex]

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