prettyaussie
Answered

At math Olympiads, participants get 8 points for each correct answer and lose 5 points for each incorrect answer. Lucia got 38 points and she did not skip any of 8 problems. How many problems did Lucie solve incorrectly?



Answer :

sqdancefan

Answer:

  2

Step-by-step explanation:

You want the number of incorrect answers out of 8 when 8 points are given for a correct answer and 5 points are deducted for an incorrect answer, and the total score was 38.

Score

Let x represent the number of incorrect answers. Then 8-x is the number of correct answers, and the total score is ...

  8(8 -x) -5(x) = 38

Solution

Simplifying the equation, we have ...

  64 -13x = 38

  64 -38 = 13x . . . . . . add 13x-38

  26/13 = x = 2 . . . . . . divide by 13

Lucie solved 2 problems incorrectly.

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