Question

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**.