Answer:
x = 31
Step-by-step explanation:
Let x: total amount of questions in the Chemistry test.
Then 52% represents the ratio of questions properly answered vs total questions:
[tex]\frac{Correct}{Total} = 52%[/tex]
The number of correct questions is the number of total questions take the number of missed questions.
[tex]Correct questions = Total questions - missed questions[/tex]
Since, missed questions = 15
[tex]\frac{x-15}{x} = 52%[/tex]
Also, 52% can be expressed as 0.52. Then, the expression can be rewritten as:
[tex]\frac{x-15}{x} = 0.52[/tex]
Then, rearranging:
[tex] x - 15 = 0.52x [/tex]
[tex] x - 0.52x = 15 [/tex]
[tex] 0.48x = 15 [/tex]
[tex] x = 15/0.48 [/tex]
[tex] x = 31.25 [/tex]
Rounding to the nearest unit: x = 31
