Answer:
Ellen spent $2.40 on her lunch.
Step-by-step explanation:
Let,
x be the total amount Ellen had.
Amount spent on lunch = [tex]\frac{x}{2}[/tex]
Amount left after lunch = [tex]x-\frac{x}{2}=\frac{2x-x}{2}=\frac{x}{2}[/tex]
Amount spent on movie = [tex]\frac{1}{2}*\frac{x}{2}=\frac{x}{4}\\[/tex]
Amount she has left = $1.20
Total amount = Lunch amount + Movie amount + Amount left
x = [tex]\frac{x}{2}+\frac{x}{4}+1.20[/tex]
[tex]x = \frac{2x+x+4.80}{4}\\4x=3x+4.80\\x = 4.80[/tex]
Amount spent on lunch = [tex]\frac{4.80}{2}[/tex] = $2.40
Hence,
Ellen spent $2.40 on her lunch.
