1. Problem statement: Diana wants to buy three equally priced pants for a total of 84 euros. She has 140 euros in cash. 2. Find the price of one pant by dividing the total cost by the number of pants: $$\text{Price per pant} = \frac{84}{3}$$ 3. Simplify the fraction: $$\text{Price per pant} = \frac{\cancel{84}}{\cancel{3}} = 28$$ 4. Now, determine how many pants Diana can buy with 140 euros by dividing her total cash by the price per pant: $$\text{Number of pants} = \frac{140}{28}$$ 5. Simplify the fraction: $$\text{Number of pants} = \frac{\cancel{140}}{\cancel{28}} = 5$$ 6. Final answer: Diana can buy 5 pants with her 140 euros.