MHB How much money does Lucy have?

[Yazan975]

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What I did is:

L/2 +20 = 3/5M

L/2+20=6/5L+20

5L+200=12L+200(after putting all of them to common denominator)

I got stuck here

 

[MarkFL]

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What I did is:

L/2 +20 = 3/5M

L/2+20=6/5L+20

5L+200=12L+200(after putting all of them to common denominator)

I got stuck here

I would let \(L\) be the amount of money Lucy had initially and \(M\) be the amount of money Mel had initially. From the information given about their initial amounts, we may state:

$$L=\frac{1}{2}M\implies M=2L$$

$$L+20=\frac{3}{5}(M+20)$$

Substitute for \(M\):

$$L+20=\frac{3}{5}(2L+20)$$

Can you proceed?

 

[I like Serena]

Hi Yazan975! ;)

Originally we had L = M/2.
Then Grandma gave each an additional \$20, after which it became 3/5th.
So (L + 20) = (M + 20) x 3/5.

Since the question asks for what Lucy has now, we need to find (L + 20).

EDIT: beaten to it by Mark.

 

[Yazan975]

I would let \(L\) be the amount of money Lucy had initially and \(M\) be the amount of money Mel had initially. From the information given about their initial amounts, we may state:

$$L=\frac{1}{2}M\implies M=2L$$

$$L+20=\frac{3}{5}(M+20)$$

Substitute for \(M\):

$$L+20=\frac{3}{5}(2L+20)$$

Can you proceed?

The answer sheet I have says Lucy has $60
I can't get there.
Please help

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The answer sheet I have says Lucy has $60
I can't get there.
Please help

Nvm, thanks I got it