Carcass wrote:
Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the $48,000 ?
A. $12,000
B. $9,000
C. $6,000
D. $4,000
E. $3,000
Although I believe it's best to use one variable to solve this question, we can also use
two variablesLet's see how that solution would look.
Let x = the amount (in dollars) that ONE employee received
Let y = the amount (in dollars) that ONE owner receivedEach owner received 3 times as much as each employeeSo, we can write:
y = 3xLast year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. So, the total amount two owners received = y + y = 2y
The total amount 10 employees received = 10x
So, we can write:
10x + 2y = 48,000At this point, we have the following system of linear equations:
y = 3x10x + 2y = 48,000 When we solve this system (I'll leave it to you to do this), we get x = 3000 and y = 9000
So, each each OWNER received $9000
Answer: B
Cheers,
Brent