deb cook is givern the choice of two positions,one paying 3,300 per month and the other paying 2400 per month plus a 5% commission on all sales made during the month. what amount must she sell in a month for the second position to be more profitable
This is a system of equations problem.
In situation #1, Deb earns $3300 per month.
In situation #2, Deb earns $2400 per month plus a 5% commission; in other words she earns as a bonus 5% of the combined value of her monthly sales. By converting 5% into a decimal, we can express how much she earns as 2400+0.05x, where x is the value of her sales.
We set the expressions equal to each other.
0.05x+2400=3300
0.05x=900
x=18,000
Therefore, Deb must sell $18,000 worth of product to customers over the course of the month in the second job in order to earn the same amount than she would at the first job.
This is a system of equations problem.
In situation #1, Deb earns $3300 per month.
In situation #2, Deb earns $2400 per month plus a 5% commission; in other words she earns as a bonus 5% of the combined value of her monthly sales. By converting 5% into a decimal, we can express how much she earns as 2400+0.05x, where x is the value of her sales.
We set the expressions equal to each other.
0.05x+2400=3300
0.05x=900
x=18,000
Therefore, Deb must sell $18,000 worth of product to customers over the course of the month in the second job in order to earn the same amount than she would at the first job.
