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 ?

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barackodam barackodam · Answer 1 · 2020-03-17T03:47:54+01:00

Answer: $9000

Explanation:

Let x = the amount (in dollars) that each employee received

Let y = the amount (in dollars) that each owner received

It is also stated that each owner received 3 times as much as each employee

Thus, we can write: y = 3x

Last year $48,000 of the store's profit was shared between its 2 owners and their 10 employees.

So, the total amount received by the 2 owners would be = y + y = 2y

The total amount received by the 10 employees also would be = 10x

we can then write: 10x + 2y = 48,000

At this point, we have 2 linear equations:

y = 3x

10x + 2y = 48,000

Substituting y=3x in the second equation

10x + 2(3x) = 48,000

10x + 6x = 48,000

16x = 48,000

X = 48,000/16

X = 3,000

Remember, y = 3x

Y = 3,000 * 3

Y = 9,000

So, each each OWNER received $9000