A local hamburger shop sold a combined total of 693 hamburgers and cheeseburgers on Wednesday. There were 57 fewer fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday
Mathematics · College · Tue Nov 03 2020
Answered on
Given:
Total hamburgers and cheeseburgers of Wednesday = 693
57 fewer cheeseburgers were sold than hamburgers.
Determine how many hamburgers were sold on Wednesday.
Solution:
The statement can be expressed in numerical form in order to solve it easily.
Let x = cheeseburgers
x + 57 = hamburgers
Hamburgers are 57 more than the sold cheeseburgers.
Equate the given values in one equation.
x + 57 + x = 693
2x + 57 = 693
Transpose 57 on the other side of the equation, note than when transposing a number, the sign will always change.
2x = 693 - 57
2x = 636
Divide both sides by 2 in order to find the value of x
x = 318
Cheeseburgers = 318
Hamburgers = x + 57
Hamburgers = 318 + 57
Hamburgers = 375
375 Hamburgers were sold on Wednesday.