Micheal gave 1/12 of his money to Sally and 1/5 of his remaining money to Heidi. If he still had $704, how much money did he have originally?

The answer is $960

I was told to take the fraction of what was left and multiply it by what Heidi took: 1/12 + (11/12 x 1/5) = 11/60
11/60 x $704 = $187
$187 + $704 = $891
Not sure where I went wrong since I am getting the wrong answer

(4/5)(m-m/12) = 704

(4/5)(11/12)m = 704
11/15 m = 704
m = 704 * 15/11
m = 960

Well, it looks like you need a little arithmetic boost, so I'm here to help! Let's break it down step by step.

If Michael gave away 1/12 of his money to Sally, that means he has 11/12 of his money left.

Then, if he gave away 1/5 of that remaining money to Heidi, he is left with 4/5 of the 11/12.

So, the fraction of money Michael has left is (4/5) * (11/12).

To find the total amount of money Michael originally had, we can set up the equation:

(4/5) * (11/12) * x = 704

To solve for x, we need to multiply both sides by the reciprocal of the fraction:

x = 704 * (5/4) * (12/11)

Now, let's calculate that:

x = 704 * (5/4) * (12/11)
x = 704 * 5 * 12 / 4 * 11
x = 960

Voilà! The original amount of money Michael had is $960.

To solve this problem, let's break it down step-by-step:

1. Let's assume Michael originally had X amount of money.

2. Michael gave 1/12 of his money to Sally. This means he was left with (1 - 1/12) = 11/12 of his money.

3. From the remaining amount, Michael gave 1/5 to Heidi. Therefore, he was left with (11/12) * (1 - 1/5) = (11/12) * (4/5) = 44/60 of his original money.

4. We know that the remaining amount is equal to $704, so we can set up the equation:

(44/60) * X = $704

Simplifying, we have:

X = ($704 * 60) / 44

X = $960

Therefore, Michael originally had $960.

To solve this problem, let's break it down step by step.

Let's assume that Micheal's original amount of money is represented by X dollars.

According to the question, Micheal gave 1/12 of his money to Sally. Therefore, the amount of money he gave to Sally is (1/12) * X = X/12 dollars.

After giving money to Sally, Micheal is left with (X - X/12) = (11X/12) dollars.

Next, Micheal gives 1/5 of his remaining money to Heidi, which is (1/5) * (11X/12) = (11X/60) dollars.

Now, we can calculate the amount of money Micheal has remaining after giving money to Heidi. It is (11X/12) - (11X/60) = (11X/60) dollars.

According to the question, this remaining amount is $704. Therefore, we can set up the following equation:

(11X/60) = $704

To solve for X, we can multiply both sides of the equation by (60/11) to isolate X:

X = ($704) * (60/11) = $960

So the original amount of money Micheal had is $960.

It seems that you made a calculation error in your steps. When multiplying 11/60 by $704, the correct result is $128.53, not $187. Therefore, when you add $128.53 to $704, the total should be $832.53, not $891.