1. **State the problem:** Maria buys computer disks at a price of 4 for 5 and sells them at a price of 3 for 4. We need to find how many disks she must sell to make a profit of 100.
2. **Identify the cost price (CP) and selling price (SP) per disk:**
- Cost price per disk: $$\frac{5}{4}$$
- Selling price per disk: $$\frac{4}{3}$$
3. **Calculate profit per disk:**
$$\text{Profit per disk} = SP - CP = \frac{4}{3} - \frac{5}{4}$$
4. **Find common denominator and subtract:**
$$\frac{4}{3} - \frac{5}{4} = \frac{16}{12} - \frac{15}{12} = \frac{1}{12}$$
5. **Set up equation for total profit:**
Let $$x$$ be the number of disks sold.
$$\text{Total profit} = x \times \frac{1}{12} = 100$$
6. **Solve for $$x$$:**
$$x = 100 \times 12 = 1200$$
7. **Answer:** Maria must sell **1200** disks to make a profit of 100.
Disk Profit E65Ec7
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