Question

Write and solve an inequality which can be used to determine o, The number of Outfits Joseph can purchase while staying within his budget.

Answer 1

we have that

the inequality that represents this situation is

$440.12+2\cdot(12.86)+19.26+(O)(53.96)\leq620$

Solve for the variable O

Combine like terms

$485.10+(O)(53.96)\leq620$

subtract 485.10 on both sides

$\begin{gathered} (O)(53.96)\leq620-485.10 \\ (O)(53.96)\leq134.90 \end{gathered}$

Divide both sides by 53.96

$\begin{gathered} O\leq\frac{134.90}{53.96} \\ \\ O\leq2.5 \end{gathered}$

that means

Joseph only can purchase a maximum of 2 outfits