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Daily Brain Teaser / Puzzle
December 04, 2006
Previous Days Teaser -- Want More? -- Next

Teaser / Puzzle Contest #7

In order to encourage his son to study math, a father agrees to pay his boy 8 cents for every problem correctly solved and to fine him 5 cents for each incorrect solution. At the end of 26 problems, neither owes anything to the other.

How many problems did the boy solve correctly?

VIEW SOLUTION BELOW

THE SOLUTION

Ten Problems

let x represent the number of problems answered correctly, then 26-x represent the number of problems answered incorrectly:

8x - 5(26-x) = 0
8x - 130+5x = 0
13x = 130
x = 10
26-x = 16

Therefore, 10 answers were correct and 16 were incorrect.