How much money does Lucy have?

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The discussion centers on solving a mathematical problem to determine how much money Lucy has after receiving an additional $20. The equations established are L/2 + 20 = 3/5M and L + 20 = 3/5(M + 20), where L represents Lucy's initial amount and M represents Mel's initial amount. Through substitution and simplification, it is concluded that Lucy has $60 after the additional funds are accounted for. The participants collaboratively worked through the algebraic steps to arrive at this solution.

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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
 

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Yazan975 said:
- - - Updated - - -

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?
 
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.
 
MarkFL said:
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

- - - Updated - - -

Yazan975 said:
The answer sheet I have says Lucy has $60
I can't get there.
Please help

Nvm, thanks I got it
 

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