Mrs. Benson has 184 math assignments left to grade.
Step-by-step explanation:
Here we have , Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade.We need to find Mrs. Benson has how many math assignments left to grade. Let's find out:
Let total Number of math assignments be x , So According to question 46 math assignments are graded & 80% are left i.e.
⇒ [tex]x = 46+\frac{80x}{100}[/tex]
⇒ [tex]x -\frac{80x}{100}= 46[/tex]
⇒ [tex]\frac{100x-80x}{100}= 46[/tex]
⇒ [tex]\frac{20x}{100}= 46[/tex]
⇒ [tex]\frac{x}{5}= 46[/tex]
⇒ [tex]x=230[/tex]
Now , Assignments left to grade is :
⇒ [tex]230-46[/tex]
⇒ [tex]184[/tex]
Therefore , Mrs. Benson has 184 math assignments left to grade.
