We have been given that Vonna scored 35 goals at soccer practice. Her ratio of goals to misses was 7:6.
Let x be number of misses of Vonna at soccer practice. We can set up a proportion of goals to misses as:
![\frac{\text{Goals}}{\text{Misses}} =(7)/(6)](https://img.qammunity.org/2019/formulas/mathematics/high-school/oeh9p8knxdf34hurktug13mvlj9gqangg8.png)
Upon substituting number of goals in our proportion we will get,
![\frac{\text{35}}{x} =(7)/(6)](https://img.qammunity.org/2019/formulas/mathematics/high-school/lxfb375kia1yjjoox05pncnzay2az5j2lf.png)
Upon cross multiplying our equations we will get,
Let us find
Upon dividing both sides of our equation by 7 we will get,
![x=(35* 6)/(7)](https://img.qammunity.org/2019/formulas/mathematics/high-school/anljlt1a2e5966qou8a9i31t83la3wppbu.png)
![x=5* 6=30](https://img.qammunity.org/2019/formulas/mathematics/high-school/v6e2hv4snpzkp34n2k16ykn1foa05hyqaq.png)
Therefore, Vonna missed 30 times at her soccer practice.