Question

A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger sold than burgers. How many hamburgers were sold on Saturday?

Answer 1

9514 1404 393

Answer:

375 hamburgers

Explanation:

Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...

h +(h +63) = 813

2h = 813 -63 = 750

h = 750/2 = 375

375 hamburgers were sold on Saturday.

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Additional comment

In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.