Answer:
29 questions on his test
Explanation:
set it up as fractions equal to each other so that you can solve for x
![76\%= (76)/(100)](https://img.qammunity.org/2021/formulas/mathematics/high-school/3mk0916yekqs47xg7cs2qn8d1c0fidzjkw.png)
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
![(76)/(100)=(22)/(x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/4okmqua4u04l36vam68iujztlzctznuz1c.png)
then you can solve by cross multiplying
![76x = 22 (100)](https://img.qammunity.org/2021/formulas/mathematics/high-school/87tl69qii2q1q5gkr9zlmtdj6eborsjbs3.png)
![76x=2200](https://img.qammunity.org/2021/formulas/mathematics/high-school/sed1kceks5m502s1ov4f9cmo6lsjwo3mzd.png)
get the x by itself by dividing both sides by 76, and then you have x
![(76x)/(76)=(2200)/(76)](https://img.qammunity.org/2021/formulas/mathematics/high-school/i231orbw3u2h7wuludf0go1t1kdme9ba0o.png)
![x=(2200)/(76)=28.947](https://img.qammunity.org/2021/formulas/mathematics/high-school/ee8lp401sv6y4tc6np5vny6h9dg6kwh2b2.png)
since you're not going to have .947 of a question, round it up to 29
and then you have it
![x=29](https://img.qammunity.org/2021/formulas/mathematics/college/us8tg2fb008jequkxbijwwv4l8a9a223sc.png)