Answer:
29 questions on his test
Step-by-step explanation:
set it up as fractions equal to each other so that you can solve for x
[tex]76\%= \frac{76}{100}[/tex]
x is the total number of questions on the test
we know that samuel got 22 of those questions correct, and a grade is calculated by dividing the number of correct answers by the total number of questions, so we can write
[tex]\frac{76}{100}=\frac{22}{x}[/tex]
then you can solve by cross multiplying
[tex]76x = 22 (100)[/tex]
[tex]76x=2200[/tex]
get the x by itself by dividing both sides by 76, and then you have x
[tex]\frac{76x}{76}=\frac{2200}{76}[/tex]
[tex]x=\frac{2200}{76}=28.947[/tex]
since you're not going to have .947 of a question, round it up to 29
and then you have it
[tex]x=29[/tex]
