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Hannah attended some college and earns 20% more than the average perso

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Hannah attended some college and earns 20% more than the average perso [#permalink] New post   13 Apr 2023, 01:34
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Hannah attended some college and earns 20% more than the average person in her educational category. After she earns her degree, she’ll earn the average weekly salary for bachelor’s degree holders. Hannah will spend $6,000 in tuition and take a 50% pay cut for 30 weeks to earn the degree. After she gets her degree, for how many weeks will she need to work to recoup her lost wages and tuition using the extra money she will earn weekly?

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Re: Hannah attended some college and earns 20% more than the average perso [#permalink] New post   17 Apr 2023, 04:00
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OE

Hannah’s current earnings are 20% greater than the category average, which makes them 1.2 × $750 = $900 per week. If she takes a 50% pay cut for 30 weeks, her lost wages will be 900/2*30=$13,500. Adding that to the college expenses of $6,000, Hannah needs to make up a total of $19,500. When she gets her degree, Hannah will be making $1,200 per week. If she hadn’t cut back her hours to attend school, she would still be making $900 per week, so she is recouping her $19,500 at the rate of $1,200 − $900 = $300 per week. So, it would take Hannah $ 19,500/300=65 weeks
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Re: Hannah attended some college and earns 20% more than the average perso [#permalink] New post   30 Aug 2023, 20:04
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OE

Hannah’s current earnings are 20% greater than the category average, which makes them 1.2 × $750 = $900 per week. If she takes a 50% pay cut for 30 weeks, her lost wages will be 900/2*30=$13,500. Adding that to the college expenses of $6,000, Hannah needs to make up a total of $19,500. When she gets her degree, Hannah will be making $1,200 per week. If she hadn’t cut back her hours to attend school, she would still be making $900 per week, so she is recouping her $19,500 at the rate of $1,200 − $900 = $300 per week. So, it would take Hannah $ 19,500/300=65 weeks



" If she hadn’t cut back her hours to attend school, she would still be making $900 per week, so she is recouping her $19,500 at the rate of $1,200 − $900 = $300 per week "

I don't get this why are we doing this subtraction, can't we just put 19500/1200=16 weeks
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Re: Hannah attended some college and earns 20% more than the average perso [#permalink] New post   31 Aug 2023, 02:51
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The key to a world problem is to read super carefully word by word

Hannah attended some college and earns 20% more than the average person in her educational category

So the category some college the salary was 750 increased by 20% so *1.2=900

After she earns her degree, she’ll earn the average weekly salary for bachelor’s degree holders.

She will earn 1200

Hannah will spend $6,000 in tuition and take a 50% pay cut for 30 weeks to earn the degree.

so to earn the degree. means the salary of 900 halved = 450 * 30 weeks = 13500 + 6000=19.500

Now is the key part

she need to work to recoup her lost wages and tuition using the extra money she will earn weekly

Now she earns 1200 and must regaing her money back. But the lost wage is that PRE Degree so it is 900 considering now she earns 1200.

IF she earns now 1200 and before 900 she must recover 300 per week. And considering also that the total amount is 19500, to cover this sum and the gap in her pocket is 300

19500/300=65 weeks

I don't get this why are we doing this subtraction, can't we just put 19500/1200=16 weeks

You cannot do that. You must recover the loss or

using the extra money she will earn weekly?

You have to focus on the EXTRA money NOT the actual salary of 1200
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