Question

1. Ellen said she spent half her money for lunch and half of what was left for a movie. She now has $1.20. How much did she spend for lunch?

Answer 1

Answer:

Ellen spent $2.40 on her lunch.

Step-by-step explanation:

Let,

x be the total amount Ellen had.

Amount spent on lunch = $\frac{x}{2}$

Amount left after lunch = $x-\frac{x}{2}=\frac{2x-x}{2}=\frac{x}{2}$

Amount spent on movie = $\frac{1}{2}*\frac{x}{2}=\frac{x}{4}$

Amount she has left = $1.20

Total amount = Lunch amount + Movie amount + Amount left

x = $\frac{x}{2}+\frac{x}{4}+1.20$

$x = \frac{2x+x+4.80}{4}\\4x=3x+4.80\\x = 4.80$

Amount spent on lunch = $\frac{4.80}{2}$ = $2.40

Hence,

Ellen spent $2.40 on her lunch.