how is it solved

Question

On Wednesday, a local hamburger shop sold a combined total of 580

 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

Answer 1

1. 580 total cheeseburgers and hamburgers sold
2. There were 3x as many cheeseburgers then hamburgers. So out of 4 burgers 3 were cheeseburgers.
3. This can be written as 3/4 of the burgers were cheeseburgers and 1/4 of the burgers were hamburgers.
4. 3/4 * 580 = 435 so 435 cheeseburgers were sold.
5. 1/4 * 580 = 145 so 145 hamburgers were sold.
6. Check: 435+145=580