80% of jacks money is equal to 150% of elaines money. Lee ling has 50% of the amount of money both jack and elaine have altogether. If jack has $825 how much money do they have altogether?

Answer 1

Let's break down the problem step by step.

1. Identify Jack's Money: According to the problem, Jack has $825.

2. Set Up the Relationship Between Jack's and Elaine's Money: We know that \( 80% \) of Jack's money is equal to \( 150% \) of Elaine's money.

   Let Elaine's money be \( E \). We can express this relationship mathematically: \[ 0.8 \times 825 = 1.5 \times E. \]

   Calculating \( 0.8 \times 825 \): \[ 0.8 \times 825 = 660. \] Therefore, we have: \[ 660 = 1.5 \times E. \] To find \( E \): \[ E = \frac{660}{1.5} = 440. \]

3. Total Amount of Money for Jack and Elaine: Now, we can find the total money Jack and Elaine have together: \[ \text{Total} = \text{Jack's money} + \text{Elaine's money} = 825 + 440 = 1265. \]

4. Lee Ling's Money: Lee Ling has \( 50% \) of the amount of money Jack and Elaine have altogether. \[ \text{Lee Ling's Money} = 0.5 \times 1265 = 632.5. \]

5. Final Step - Total Amount of Money: To find the total amount of money they have altogether (Jack, Elaine, and Lee Ling): \[ \text{Total Amount} = 825 + 440 + 632.5 = 1997.5. \]

So, the total amount of money they have altogether is $1997.50.