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.