3.3 Split Lottery Winnings

3.3 Split Lottery Winnings - Let x be the amount of money...

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Outside the Classroom Splitting Lottery Winnings Wanda, Forest and Aden decided to buy some lottery tickets and split the jackpot if they won. They were delighted when their numbers were selected! When their excitement finally waned, they realized that they needed to divide up their winnings. I can t believe we won! And I only bought one ticket! said Wanda. Well, I bought four tickets, said Forest, so I should get four times as much money as you. That seems fair, responded Wanda. Aden chimed in, And I bought eight times as many tickets as Wanda, so my share should be eight times hers. They all agreed. After taxes, the amount of their win was $1,339,078. How much money should Wanda (1 ticket), Forest (4 tickets), and Aden (8 tickets) each get? Step 1: Define the unknown variable.
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Unformatted text preview: Let x be the amount of money Wanda gets. Step 2: Write an algebraic expression in terms of x to represent the amount of money that Forest gets. Step 3: Write an algebraic expression in terms of x to represent the amount of money that Aden gets. Step 4: Write an algebraic expression in terms of x to represent the amount of money that they all get added together, then simplify that expression. This expression will not include the value $1,339,078. Step 5: Write an equation involving the simplified expression you wrote in Step 4. This equation will include the value $1,339,078. Step 6: Solve this equation for x. What does that tell you? Step 7: Use the solution in Step 6 to determine how much money Forest and Aden should get. (Hint: Evaluate the expressions you wrote in Steps 2 and 3.)...
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