Math work problem

Question

Suppose a certain company sells regular keyboards for $82 and a wireless keyboard for 110 last week the store sold three times as many regular keyboard is wireless if total keyboard cells were 5340 how many of each type were sold?

Answer 1

First define your variables. Let's let "r" be the number of regular keyboards sold and let "w" be the number of wireless keyboards sold.

We are told that regular keyboards sell for $82 so the revenue we would get for selling regular keyboards will be $82 times the number sold or "82r". We are also told that wireless keyboards sell for $110 so the revenue we would get from selling wireless keyboard will be $110 time the number sold or "110w". And we are told that the total sales revenue was $5340 so that means:

82r + 110w = 5340

We are also told that the store sold three times as many regular keyboard as wireless keyboards so r = 3w (to get the number of regular keyboards sold, multiply the number of wireless keyboards sold by 3).

Since r = 3w we can replace "r" with "3w" in our first equation:

82r + 110w = 5340

82(3w) + 110w = 5340

246w + 110w = 5340

356w = 5340

w = 5340/356 = 15

To find "r" plug in w = 15 to our equation r = 3w so r = 3(15) = 45

So 45 regular keyboards were sold and 15 wireless keyboards were sold.