In a math contest of 20 problems, 5 points were given for each correct answer. If Janelle answered all 20 problems and scored 72 points how many correct answers did he have?
Cannot be done only knowing that 5 points are awarded for each correct answer. Score would be a multiple of 5. What information is missing?
To find the number of correct answers Janelle had, we can set up an equation.
Let x be the number of correct answers.
Since each correct answer is worth 5 points, the total score, 72, can be represented as:
5x = 72
Now we will solve this equation to find the value of x.
Dividing both sides of the equation by 5:
x = 72 / 5
x ≈ 14.4
Since we are dealing with the number of correct answers, we can only have a whole number, so we can conclude that Janelle answered 14 correctly.
Therefore, Janelle had 14 correct answers.
To find the number of correct answers Janelle had, you can divide her total score by the number of points given for each correct answer.
Since each correct answer is awarded 5 points, divide Janelle's total score of 72 points by 5:
72 points ÷ 5 points per correct answer = 14.4 correct answers
Since you cannot have a fraction of a correct answer, you can round down to the nearest whole number. Thus, Janelle had 14 correct answers.