Question

Amanda and Blake played a board game. In the game, Amanda had $2,740 in play money and Blake had $3,560. Amanda had to give some play money to Blake. After that, Blake had 4 times the amount of play money Amanda had. How much play money did Blake have in the end?

Answer 1

After calculating the transaction between Amanda and Blake, it was found that Blake had $5,040 in play money at the end of the game.

Step-by-step explanation:

To solve how much play money Blake had in the end, let's denote the amount Amanda had to give to Blake as x. At the beginning, Amanda had $2,740, so after giving x to Blake, she would have $2,740 - x. Blake started with $3,560 and received x from Amanda, ending up with $3,560 + x. The condition given is that after the transaction, Blake had 4 times the amount of play money Amanda had. Therefore, we can write the equation:

$3,560 + x = 4($2,740 - x)

This simplifies to:

$3,560 + x = $10,960 - 4x

Now, combine like terms:

5x = $10,960 - $3,560

5x = $7,400

x = $1,480

So, Blake received $1,480 from Amanda. This means that in the end, Blake had:

$3,560 + $1,480 = $5,040

Blake had $5,040 in play money at the end of the game.