Question

Suppose a certain company sell reg keyboards for $82 and wireless $110 last week the store sold three times as many regular keyboards as wireless. If the total sales were 4628 how many was sold?

Answer 1

Answer:

3,471 regular keyboards sold

1,157 wireless keyboards sold

Step-by-step explanation:

To represent this scenario use this system of equations:

x + y = 4628

x = 3y

x = regular keyboards

y = wireless keyboards

The first equation represents how many regular and wireless keyboards were sold to equal 4,628 units of keyboards.

The second equation represents how there are three times as many regular keyboards sold than wireless.

Solve this by plugging in x in the second equation to the first equation:

(3y) + y = 4628

4y = 4628                        Add the y's together to get 4y

y = 1,157

Therefore, 1,157 wireless keyboards were sold

To find how many regular keyboards were sold, plug y back into the second equation:

x = 3(1157)

x = 3,471

The final answer to this problem is that 3,471 regular keyboards were sold and 1,157 wireless keyboards were sold.

Hope this helps!! If you have any questions about the work please let me know!