Using algebra, we will see that Amy spends 7/16 of her earnings in clothes.
First, let's define E as her earnings last month.
We know that Amy spent (3/4)*E.
Of the amount that she spent, (1/4) is on recreation, (1/6) is on art supplies, and the rest on clothes.
The sum of these 3 fractions should be equal to 1, so if we define "the rest" as x, we have:
x + 1/4 + 1/6 = 1
x + 3/12 + 2/12 = x + 5/12 = 1
x = 12/12 - 5/12 = 7/12
So, out of the (3/4)*E that Amy spent in total, (7/12) of that was spent only on clothes.
Then she spends:
(7/12)*(3/4)*E = (7/16)*E
in clothes.
Concluding, we can see that she spends 7/16 of her earnings in clothes.
If you want to learn more, you can read:
https://brainly.com/question/15144684
