Answer:
40%
Step-by-step explanation:
A percent is;
[tex]\frac{part}{whole} = \frac{x}{100}[/tex]
It is given that Jolie the 75 dodgeballs in total, hence the whole is 75. It is also given that 30 of the dodgeballs hit the target, so the part is 30. Now all one has to do is solve for "x".
[tex]\frac{30}{75} = \frac{x}{100}[/tex]
Simplify [tex]\frac{30}{75}[/tex] by dividing the numerator and denominator by 15.
[tex]\frac{2}{5}[/tex]
Now the equation is;
[tex]\frac{2}{5}=\frac{x}{100}[/tex]
Typically, one would solve a proportion by doing cross products, but in this case, it is easier to think about it intuitively. Since 5 is a factor of 100 (5 * 20 = 100), then all one has to do is multiply [tex]\frac{2}{5}[/tex] by 20 to get the answer (on the numerator).
x = 40
