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Ivanshal [37]
3 years ago
8

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 spen

d for lunch?
Mathematics
1 answer:
krok68 [10]3 years ago
8 0

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.

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