### Brain Teasers

# Math and Money

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?

How many problems did the boy solve correctly?

### Answer

Ten Problemslet 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.

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