Question

The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than the second. How much did each person receive?

Answer 1

Answer: Let's call the amount of money received by the first person "x".

According to the problem, the second person received $1 less than twice as much as the first. This can be expressed as:

2x - 1

And the third person received $11 more than the second, which can be expressed as:

2x - 1 + 11 = 2x + 10

We know that the sum of the amounts received by the three people is $224. Therefore, we can write an equation:

x + (2x - 1) + (2x + 10) = 224

Simplifying and solving for x, we get:

5x + 9 = 224

5x = 215

x = 43

So the first person received $43.

Using the expressions we found for the second and third person, we can calculate their amounts:

Second person: 2x - 1 = 2(43) - 1 = 85

Third person: 2x + 10 = 2(43) + 10 = 96

Therefore, the three people received $43, $85, and $96, respectively.

Explanation:

Answer 2

the three people received $43, $85, and $96

Explanation:

Let's call the amount received by the first person "x".

According to the problem, the second person received $1 less than twice as much as the first. This can be written as:

2x - 1

And the third person received $11 more than the second. This can be written as:

2x - 1 + 11

Now we can set up an equation to represent the fact that the total amount divided among the three people was $224:

x + (2x - 1) + (2x - 1 + 11) = 224

Simplifying the equation:

5x + 9 = 224

Subtracting 9 from both sides:

5x = 215

Dividing both sides by 5:

x = 43

So the first person received $43.

Using the expressions we wrote earlier, we can find that the second person received:

2x - 1 = 2(43) - 1 = 85

And the third person received:

2x - 1 + 11 = 2(43) - 1 + 11 = 96

Therefore, the three people received $43, $85, and $96, respectively.