Jaxen's shop made lots of money today. She made a quarter (fourth) of her money in the morning. She made 2/3 of the remaining money in the afternoon. In the evening, she made $100. How much money did Jaxen's shop make today?

Let $ x $ be the total amount of money Jaxen's shop made today.

### Step 1: Morning Earnings
Jaxen made a quarter of her total earnings in the morning, so the morning earnings are:
\[
\text{Morning earnings} = \frac{1}{4}x
\]
This leaves $ \frac{3}{4}x $ of the money remaining.

### Step 2: Afternoon Earnings
In the afternoon, Jaxen made two-thirds of the remaining amount $ \frac{3}{4}x $:
\[
\text{Afternoon earnings} = \frac{2}{3} \times \frac{3}{4}x = \frac{1}{2}x
\]
So, after the afternoon, Jaxen has $ \frac{1}{4}x $ of the money still remaining.

### Step 3: Evening Earnings
In the evening, Jaxen made $100. This is the remaining amount:
\[
\text{Evening earnings} = \frac{1}{4}x = 100
\]
### Step 4: Solve for $ x $
Now we can solve for $ x $:
\[
\frac{1}{4}x = 100
\]
Multiply both sides by 4:
\[
x = 400
\]

Thus, Jaxen's shop made **$400** today.

Would you like further clarification or more details on the steps?

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Here are 5 related questions for further exploration:
1. If Jaxen had made half of her remaining money in the afternoon, how would that affect the total earnings?
2. What if Jaxen made a third of her earnings in the morning, how much would her total be?
3. How much money did Jaxen make in the morning?
4. How much money did Jaxen make in the afternoon?
5. If Jaxen made $50 in the evening instead of $100, how much money would she have made in total?

**Tip:** When dealing with fractions of a whole, break down the remaining portions step by step to simplify calculations.

Learn how to solve a real-world word problem involving fractions of a total amount. Jaxen's shop made money in the morning, afternoon, and evening, and this problem teaches how to calculate total earnings step-by-step. Suitable for Grades 6-8.

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