Answer:
![T_(balls):T_(rackets)=5:3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ft980trwv0h3dlxc94hkfw61ifmknvcl8t.png)
![T_(balls):T_(rackets):T_(equipment)=5:3:8\\\\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/q04cxtrh7tocezyn773m3wsvjqid9igdtc.png)
Explanation:
Let x be the number of tennis balls and y the number of tennis rackets.
-Given that for every 5 tennis balls, there are 3 rackets, the ratio of the balls and rackets can be modeled as;
![x=T_(balls)\\\\y=T_(rackets)\\\\T_(balls):T_(rackets)=(5)/(3)=5:3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8sl2zkgzwxynwlj4sfarawpblh6t7wgtfn.png)
Hence, the ratio of tennis balls to tennis rackets is modeled as
![T_(balls):T_(rackets)=5:3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ft980trwv0h3dlxc94hkfw61ifmknvcl8t.png)
#The ratio of tennis balls to tennis rackets tennis balls to total pieces of tennis equipment:
![T_(balls):T_(rackets):T_(equipment)=5:3:(5+3)\\\\\\T_(balls):T_(rackets):T_(equipment)=5:3:8\\\\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3066niga1djkkqdk4s03x3u56mul0qdvko.png)