John started working part time at a local pet store and earned $24 a day. Two days laterJack started working part time at a local music store and earned $30 a day. After how

many days do they earn the same amount?

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Answer 1
Answer:

Answer:

They earn the same amount after 8 days.

Step-by-step explanation:

When both started working(the day Jack started, John had been working for 2 days earning $24 a day, so he already had 2*24 = $48). We started modeling from this day.

John:

He already had $48.

He would earn $24 per day.

So after n days, his amount would be:

A_(Jo)(n) = 48 + 24n

Jack:

He has nothing.

He would earn $30.

So after n days, his amount would be:

A_(Ja)(n) = 30n

After how many days do they earn the same amount?

After n days.

n is found when:

A_(Jo)(n) = A_(Ja)(n)

48 + 24n = 30n

6n = 48

n = (48)/(6)

n = 8

They earn the same amount after 8 days.


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