A young man spent 1/4 of his allowance on a movie. He spent 11/18 of the remainder on after-school snacks. Then from the money remaining, he spent $3.00 on a magazine, which left him 1/24 of his original allowance to put into savings. how much of his allowance did he save?

Let x be the original amount,

x(1-1/4)(1-11/18)-3 = x/24

Solve for x

To find out how much of his allowance the young man saved, we need to follow these steps:

Step 1: Calculate the amount he spent on the movie.
The young man spent 1/4 of his allowance on the movie. Let's assume his original allowance is x dollars.
Amount spent on the movie = (1/4) * x = x/4 dollars.

Step 2: Calculate the remainder after spending on the movie.
The remainder after spending on the movie = Original allowance - Amount spent on the movie.
Remainder = x - (x/4) = (4x - x) / 4 = 3x/4 dollars.

Step 3: Calculate the amount he spent on after-school snacks.
The young man spent 11/18 of the remainder on after-school snacks.
Amount spent on snacks = (11/18) * (3x/4) = (33x/72) = 11x/24 dollars.

Step 4: Calculate the remaining amount after spending on snacks.
The remaining amount after spending on snacks = Remainder - Amount spent on snacks.
Remaining amount = (3x/4) - (11x/24) = (18x - 11x) / 24 = 7x/24 dollars.

Step 5: Calculate the amount he spent on a magazine.
The young man spent $3.00 on a magazine. This is equal to 1/24 of his original allowance.
Therefore, 1/24 of his allowance = $3.00.
Let's assume his original allowance is y dollars.
(1/24) * y = $3.00.
Simplifying, we get y = 24 * $3.00 = $72.00.

Step 6: Calculate the amount he saved.
The remaining amount after spending on the movie, snacks, and the magazine = 7x/24 dollars.
We know that this amount is equal to 1/24 of his original allowance, which is $72.00.
So, 7x/24 = $72.00.
To find x, we multiply both sides by 24/7.
x = ($72.00) * (24/7) = $247.71 (rounded to two decimal places).

Now, we can calculate the amount he saved:
Amount saved = Remaining amount after spending on movie, snacks, and the magazine = 7x/24.
Substituting the value of x, we get:
Amount saved = (7 * $247.71) / 24 = $205.19 (rounded to two decimal places).

Therefore, the young man saved approximately $205.19 of his allowance.

To find out how much of his allowance the young man saved, we need to follow the given information step by step.

1. The young man spent 1/4 of his allowance on a movie. This means he had 3/4 (1 - 1/4) of his allowance remaining.

2. He then spent 11/18 of the remainder on after-school snacks. To find out how much he spent on snacks, we need to multiply the remaining allowance (3/4) by 11/18:

(3/4) * (11/18) = 33/72 = 11/24

Now, he has (3/4) - (11/24) = 9/24 = 3/8 of his original allowance left.

3. He spent $3.00 on a magazine, which reduces his remaining allowance by $3.00. Since we know that $3.00 is equal to 1/24 of his original allowance, we can calculate his original allowance:

1/24 * X = $3.00

Here, X represents the original allowance.

To find X, we can multiply both sides of the equation by 24:

X = $3.00 * 24 = $72.00

So, the original allowance was $72.00.

4. Finally, we can find out how much of his allowance he saved by subtracting the amount he spent from his remaining allowance:

(3/8) * $72.00 - $3.00 = $27 - $3.00 = $24.00

Hence, he saved $24.00 of his original allowance.