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 altogether?

Answer 1

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

From the problem, we know:

1. \( S = 825 \)
2. \( 0.8S = 1.5E \) (80% of Su En's money is equal to 150% of Elaine's money)
3. \( L = 0.5(S + E) \) (Lee Ling has 50% of the sum of what Su En and Elaine have)

Step 1: Solve for Elaine's money

Substituting \( S = 825 \) into the equation \( 0.8S = 1.5E \):

\[ 0.8 \times 825 = 1.5E \]

Calculating the left-hand side:

\[ 660 = 1.5E \]

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

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

Step 2: Solve for Lee Ling's money

Next, we need to find \( L \) using the equation \( L = 0.5(S + E) \):

\[ L = 0.5(825 + 440) = 0.5(1265) \]

Calculating this gives:

\[ L = 632.5 \]

Step 3: Calculate the total amount of money for all three girls

Now we can find the total amount of money by adding \( S \), \( E \), and \( L \):

\[ S + E + L = 825 + 440 + 632.5 \]

Now, performing the addition:

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

The total amount of money that the three girls have altogether is:

\[ \boxed{1897.5} \]