Mr.Kim has 550 take-out boxes at his restaurant. He estimates that he will use 80 boes per week. Mr. Kim wants to re-order more boxes when he has fewer than 100 left. After how many weeks should mr.Kim re-order more take-out boxs? Wwrite and solve an ineaquality

Mr. kim will re – order boxes after 6 weeks.  Solution:Given, Mr. Kim has 550 take-out boxes at his restaurant.  He estimates that he will use 80 boxes per week. Mr. Kim wants to re-order more boxes when he has fewer than 100 left.  We have to find after how many weeks should mr. Kim re-order more take-out boxes?  Now, we know that, Mr. kim will re – order boxes when number of boxes < 100 [tex]\begin{array}{l}{\rightarrow 550 \text { - number boxes use }<100} \\\\ {\rightarrow 550 \text { - number of weeks } \times \text { number of boxes used per week }<100} \\\\ {\rightarrow 550-n \times 80<100} \\\\ {\rightarrow 550-80 n<100} \\\\ {\rightarrow 550-80 n-100<0} \\\\ {\rightarrow 450-80 n} \\\\ {\rightarrow n>\frac{450}{80}} \\\\ {\rightarrow n>5.625}\end{array}[/tex]As number of weeks can’t be considered as fractions in our problem, take nearest integer greater than 5.625 Then, n can be 6. Hence, mr. kim will re – order boxes after 6 weeks.