kevin has a ratio of 2 wrong answers to 7 correct answers on his math test. If he got 6 questions ewrong then how many did he answr correctly

Respuesta :

Answer:

21 questions

Step-by-step explanation:

Given

[tex]Wrong : Right = 2:7[/tex]

Required

Determine the number of correct answers if he answered 6 wrongly

The required ratio can be represented as:

[tex]Wrong : Right = 6 : X[/tex]

Where X represents number of right answers for 6 wrong answers.

Next, we equate both ratios:

[tex]6:X = 2:7[/tex]

Convert to fraction

[tex]\frac{6}{X} = \frac{2}{7}[/tex]

Cross Multiply

[tex]X * 2 = 6 * 7[/tex]

[tex]2X = 42[/tex]

Divide through by 2

[tex]X = 21[/tex]

Hence, he answered 21 correctly

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