Answer: Our required equations would be
![4c+160](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rrxh8pmdugczntfdnornt50i1kfumvf302.png)
![7c+70](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8ewrkf3l6dmj6nd5okg9b59ed56hpmzaeg.png)
Explanation:
Let the number of candles be 'c'.
In case of Hailey:
Cost of each candle = $4
Amount already raised = $160
So, our equation becomes
![4c+160](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rrxh8pmdugczntfdnornt50i1kfumvf302.png)
In case of Kacie:
Cost of each candle = $7
Amount already raised = $70
So, our equation becomes,
![7c+70](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8ewrkf3l6dmj6nd5okg9b59ed56hpmzaeg.png)
According to question, total amount raised is same for both the cases ,
so, it becomes,
![4c+160=7c+70\\\\160-70=7c-4c\\\\90=3c\\\\c=(90)/(3)\\\\c=30](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kukgk7zkwd8ruci0nss60zjhck77l2z9fg.png)
Hence, our required equations would be
![4c+160](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rrxh8pmdugczntfdnornt50i1kfumvf302.png)
![7c+70](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8ewrkf3l6dmj6nd5okg9b59ed56hpmzaeg.png)