Question

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

Answer 1

(.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 2

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

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

`(100-20)/(100)* 10x\\\\=(80)/(100)* 10x\\\\=8x`

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

`(8x)/(2)=4x`

According to question,

`4x=300\\\\x=(300)/(4)\\\\x=75\ hours`

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

`4x=300`