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Rina wants to run a karaoke machine for a family reunion. The prices to rent the machine from two different companies are shown . For how many days must she rent the machine for the cost from each place to be the same?

|Company| Deposit| Cost per Day|

Mike's Music| $5 |$1.25|

Karaoke Korner| $4 | $1.50~

Verified Answer :

617793

Total pay for the year (x) = Base pay + (percentage commission)x, where x is the number of karaoke machines sold.  Total pay (x) = $35,470 + ($1,300/machine) (1.145)*x = $38,486. The 1.145 factor represents the unit price of each machine sold PLUS the 14.5% commission.  Let's begin solving this for x by subtracting $35,470 from both sides of this equation. The result is $3,016, which represents commission income.  Each machine sells for $1,300, and the saleswoman earns 14.5% on each sold. That comes to 1.145($1,300) = $1488.50 per machine sold.  Dividing both sides of this equation by ($1,488.50/machine), we get  $3016  x = ------------------------- = 2.027. Round this off to 2, representing the  $1488.50 commission earned on the sale of  2 machines.

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