Stacey spent 1/ 6 of her money on a purse and 7/12 more money on a bag than on the purse. What fraction of her money did she spend?
1/6 + 1/6 * (1 + 7/12) = 31/72
To find out what fraction of her money Stacey spent, we need to determine the total amount of money she spent on the purse and bag.
Let's assume Stacey had $x as her total amount of money.
Stacey spent 1/6 of her money on the purse, which means she spent (1/6)*x.
Stacey also spent 7/12 more money on the bag than on the purse. So, she spent (1/6)*x + 7/12.
To find the total fraction of her money she spent, we add the fractions together: (1/6)*x + 7/12 = (2/12)*x + 7/12 = (2x + 7)/12.
Therefore, Stacey spent a fraction of (2x + 7)/12 of her money.
To find the fraction of money Stacey spent, we need to add the fraction of money she spent on the purse and the fraction of money she spent on the bag.
Given that she spent 1/6 of her money on the purse, we know that she has 5/6 of her money left.
Now, we need to find the fraction of money she spent on the bag. We know that she spent 7/12 more on the bag than on the purse. So, we can add 7/12 to 1/6:
1/6 + 7/12 = 2/12 + 7/12 = 9/12.
Now, we add this fraction to the fraction of money she has left:
9/12 + 5/6 = 9/12 + 10/12 = 19/12.
However, we need to note that the answer should be in terms of a proper fraction (a fraction less than one). So, we can simplify 19/12:
19/12 = 1 7/12.
Therefore, Stacey spent 1 7/12 of her money.