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

Ellen spent $2.40 on her lunch.

Explanation:

Let,

x be the total amount Ellen had.

Amount spent on lunch =
`(x)/(2)`

Amount left after lunch =
`x-(x)/(2)=(2x-x)/(2)=(x)/(2)`

Amount spent on movie =
`(1)/(2)*(x)/(2)=(x)/(4)\\`

Amount she has left = $1.20

Total amount = Lunch amount + Movie amount + Amount left

x =
`(x)/(2)+(x)/(4)+1.20`

`x = (2x+x+4.80)/(4)\\4x=3x+4.80\\x = 4.80`

Amount spent on lunch =
`(4.80)/(2)` = $2.40

Hence,

Ellen spent $2.40 on her lunch.