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:
[tex]\frac{\text{Goals}}{\text{Misses}} =\frac{7}{6}[/tex]
Upon substituting number of goals in our proportion we will get,
[tex]\frac{\text{35}}{x} =\frac{7}{6}[/tex]
Upon cross multiplying our equations we will get,
Let us find [tex]35\cdot 6=7x[/tex]
Upon dividing both sides of our equation by 7 we will get,
[tex]x=\frac{35\times 6}{7}[/tex]
[tex]x=5\times 6=30[/tex]
Therefore, Vonna missed 30 times at her soccer practice.