Per hour the earning is, $6.50
Therefore, for eight hours,
[tex]6.50\times8=52[/tex]There without ant embroidery she earns $52 for 8 hours.
To earn $ 85,
[tex]85-52=33[/tex]She has to earn $33 in terms of embroidery.
So,
[tex]\begin{gathered} 33=x\times0.45 \\ x=\frac{33}{0.45}=73.33 \end{gathered}[/tex]Thus, she has to embroider 74 caps to earn at least $85 in an 8-hour day?