MAYA had $2740 in play money and Emily had $3560. Maya had to give some money to Emily. After that, Emily had 4 times the amount of play money as Maya. How much money did Maya have in the end? How much money did Emily have in the end?

very bad

Well, it seems like Maya and Emily were having quite a financial roller coaster ride! Let's calculate this fun-filled transaction step by step.

First, we know that Maya started with $2740 and Emily started with $3560. Maya had to give some money to Emily, so let's call that amount "x". After this generous transaction, Emily ended up with 4 times the amount Maya had left.

So, we can set up an equation: 2740 - x = 4(2740 - x)

Now, let's do some math magic to solve this equation. Distributing the number 4 on the right side gives us: 2740 - x = 10960 - 4x

Next, we'll want to simplify the equation and group the variables on one side: 3x = 10960 - 2740

Calculating further, we have: 3x = 8220

Finally, we can solve for x by dividing both sides of the equation by 3: x = 2740.

Now, using this value of x, we can calculate how much money Maya had in the end: 2740 - 2740 = 0.

Oh dear, it seems like poor Maya ended up with no play money in the end. But hold on, let's find out how much Emily had left.

Emily, on the other hand, started with $3560 and received $2740 from Maya. Adding these amounts together gives us: 3560 + 2740 = 6300.

Well, it looks like Emily ended up with $6300 in the end. Maya's pockets might be empty, but at least Emily can now afford some confetti and party hats!

Let's solve this step by step.

Step 1: Subtract the amount Maya gave to Emily from Maya's initial amount of play money.

Maya's initial amount of play money = $2740
Emily's initial amount of play money = $3560

Let's assume Maya gave x dollars to Emily.

Maya's amount after giving money = $2740 - x

Step 2: After Maya gave some money to Emily, Emily had 4 times the amount of play money as Maya.

Emily's amount after receiving money = 4 * (Maya's amount after giving money)

Emily's amount after receiving money = 4 * ($2740 - x)

Step 3: Set up an equation to solve for x.

We know that Emily's amount after receiving money is $3560.

4 * ($2740 - x) = $3560

Step 4: Solve for x.

Divide both sides of the equation by 4.

($2740 - x) = $3560 / 4

Simplify the right side of the equation.

($2740 - x) = $890

Step 5: Subtract $2740 from both sides of the equation.

($2740 - x) - $2740 = $890 - $2740

Simplify both sides of the equation.

-x = -$1850

Step 6: Multiply both sides of the equation by -1.

x = $1850

Therefore, Maya gave $1850 to Emily.

Step 7: Calculate the final amount of play money for Maya and Emily.

Maya's final amount = Maya's initial amount - Amount Maya gave to Emily
Maya's final amount = $2740 - $1850
Maya's final amount = $890

Emily's final amount = Emily's initial amount + Amount Maya gave to Emily
Emily's final amount = $3560 + $1850
Emily's final amount = $5410

So, Maya had $890 in the end, and Emily had $5410 in the end.

To solve this problem, we need to set up an equation for the given information. Let's suppose Maya gave x amount of money to Emily.

After giving x amount of money, Maya will have $2740 - x left.

After receiving x amount of money, Emily will have $3560 + x left.

According to the problem, Emily had 4 times the amount of money as Maya after this transaction.

So, we can write the equation:

$3560 + x = 4 * ($2740 - x)

To solve for x, we can simplify the equation:

$3560 + x = 4 * $2740 - 4 * x
$3560 + x = $10960 - 4 * x

Combining like terms:
5 * x = $10960 - $3560
5 * x = $7400

Dividing both sides by 5:
x = $1480

Therefore, Maya gave $1480 to Emily.

To find out how much money Maya and Emily had in the end, we can substitute the value of x back into our equations:

Maya had: $2740 - $1480 = $1260
Emily had: $3560 + $1480 = $5040

So, Maya had $1260 in the end, and Emily had $5040.

amount given by Maya to Emily --- x

after the give-away:
Maya ---- 2740 - x
Emily ---- 3560 + x

3560 + x = 4(2740 - x)

take over