Using a system of equations, it is found that Carol is 10 years old.
The complete problem is:
"Gerrys age is 5 more than three times Carols age. If the sum of their age is 45, how old is carol?"
<h3>System</h3>
The variables are:
Gerry is <u>5 more than three times Carol's age</u>, hence:
![x = 5 + 3y](https://tex.z-dn.net/?f=x%20%3D%205%20%2B%203y)
The sum of their ages is 45, hence:
![x + y = 45 \rightarrow x = 45 - y](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2045%20%5Crightarrow%20x%20%3D%2045%20-%20y)
We then use the first equation to find Carol's age:
![45 - y = 5 + 3y](https://tex.z-dn.net/?f=45%20-%20y%20%3D%205%20%2B%203y)
![4y = 40](https://tex.z-dn.net/?f=4y%20%3D%2040)
![y = \frac{40}{4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B40%7D%7B4%7D)
![y = 10](https://tex.z-dn.net/?f=y%20%3D%2010)
Carol is 10 years old.
To learn more about system of equations, you can take a look at brainly.com/question/13773803
Answer:
(D) $20,240
Step-by-step explanation:
Since the value of her car decreases by 8% every year, in one year it will be 92% of its original price ($22,000). 0.92 * 22,000 is 20,240. Therefore, the answer is D.
Hope this helps :)