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 bellbell252 · Answer 1 · 2016-05-09T13:59:19-04:00

(.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

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RenatoMattice RenatoMattice · Answer 2 · 2019-01-04T04:52:25-05:00

Answer: The expression which represents the condition described is given as $4x=300$

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

$10x$

Rate of tax are taken out = 80%

So, amount she left with is given by

$\frac{100-20}{100}\times 10x\\\\=\frac{80}{100}\times 10x\\\\=8x$

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

$\frac{8x}{2}=4x$

According to question,

$4x=300\\\\x=\frac{300}{4}\\\\x=75\ hours$

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

$4x=300$