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A teacher is writing a quiz. He wants the ratio of the number of easy questions to the total number of questions to be 10:14. If the teacher wants fewer than 10easy questions on the quiz, how many easy questions should he write?

Respuesta :

The ratio of essay questions to total number of question be 10: 14

Let the number of total questions = x

The teacher wants the essay questions to be fewer than 10 on the quiz

The essay questions = x - 10

To solve for x, we need to establish a proportion

10 / x - 10 = 14/x

Cross multiply

14(x - 10) = 10 * x

14x - 140 = 10x

Collect the like terms

-140 = 10x - 14x

-140 = -4x

Divide both sides by -4

-140/-4 = -4x/-4

x = 140/4

x = 35

The total questions on the quiz is 35

Since, essay questions is

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