Question

A local hamburger shop sold a combined total of 517 hamburgers and cheeseburgers on Wednesday. There were 67 more cheeseburgers sold than hamburgers. How many hamburgers were sold

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Answer 1

c = 292; h = 225

c = cheeseburgers

h = hamburgers

Explanation:

2 Equations;

h + c = 517

c = h + 67

h + h + 67 = 517 | Substitution

2h + 67 = 517 | Subtract on Both Sides

2h = 450 | Divide

h = 225

Plug the h value in the second equation to find the value of c.

c = h +67 | Original Equation

c = 225 + 67 | Substitution

c = 292

Answer 2

225 hamburgers would be sold
517 - 67 = 450 (this makes them equal)
450/2 = 225 (this is the hamburger count)