80% of su ens money is equal to 150% of elaines money. Lee ling has 50% of the amount of money both su ens and elaine have altogether. If su en has $825 how much money do the 3 girls have in all?

1 answer

Let's denote the amount of money Su En has as \( S \), the amount Elaine has as \( E \), and the amount Lee Ling has as \( L \).

From the problem, we know:

  1. \( S = 825 \)
  2. \( 0.8S = 1.5E \)

Substituting \( S \) into the second equation:

\[ 0.8 \times 825 = 1.5E \]

Calculating the left side:

\[ 0.8 \times 825 = 660 \]

So, we have:

\[ 660 = 1.5E \]

To find \( E \), divide both sides by 1.5:

\[ E = \frac{660}{1.5} = 440 \]

Now we can find Lee Ling's amount, \( L \). According to the problem, Lee Ling has 50% of the total amount of money that Su En and Elaine have together:

\[ L = 0.5(S + E) \]

Calculating \( S + E \):

\[ S + E = 825 + 440 = 1265 \]

Now substituting this into Lee Ling's equation:

\[ L = 0.5 \times 1265 = 632.5 \]

Now we can find the total amount of money that all three girls have:

\[ \text{Total} = S + E + L = 825 + 440 + 632.5 \]

Calculating the total:

\[ 825 + 440 = 1265 \] \[ 1265 + 632.5 = 1897.5 \]

Thus, the total amount of money that the three girls have is:

\[ \boxed{1897.5} \]