a local hamburger shop sold a total of 424 hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number of hamburgers sold

Answer 1

For simplicity let's start by letting the number of hamburgers be represented by x;

Now the problem tells us that there are in total 424 hamburgers AND cheeseburgers sold; so in this case 424= x + (number of cheeseburgers).

Let's call the number of cheeseburgers 'y' for simplicity.

So now we can say: x + y = 424.

Next we're told that the number cheeseburgers sold was 3 times that of hamburgers; so we can replace the term for cheeseburgers by how it relates to hamburgers--thus reducing our number of different variables.

So now: x + (3x) = 424

which means 4x = 424, so dividing both sides of 4 => x = 106.

Now remember this tells us the amount of hamburgers (x); so to find the number of cheeseburgers we remember that they sold at a rate of 3 times the hamburgers-- so cheeseburgers would be 3(106)= 318.

To double check--> x + y = x + (3x) = (106) + (318) = 424; therefore we have identified the number of hamburgers and cheeseburgers.

Hope this helps!

Answer 2

Assume Cheesebergers =X and HamburgerS =Y

..........>> Total sold =424 ........> means : X+Y=424

X=3Y ( Cheeseburgers are 3 times of Hamburgers )

JUST replace X by 3Y In the above equation:

3Y+Y=424 ........> 4Y=424 .........> 424/4 = Y

Y = 106 ( CHEESEBURGERS)

Then ..............> X=3Y .......> X= 3* 106 = 318 ( HAMBURGURES)

:-)