Iistan has tangerines and pears in a ratio of \( 295: 50 \). How many tangerines does he have if he has 10 pears?

To find the number of tangerines Iistan has when he has 10 pears, we can set up a proportion based on the given ratio of tangerines to pears, which is \( 295: 50 \). First, let's express the ratio in simpler terms. We can simplify \( 295: 50 \) by dividing both sides by 5, which gives us: \[ \frac{tangerines}{pears} = \frac{295}{50} = \frac{59}{10} \] Now, we know that the number of pears is 10. Let \( x \) be the number of tangerines. We can set up the proportion: \[ \frac{x}{10} = \frac{59}{10} \] To solve for \( x \), we cross-multiply: \[ x = 10 \times \frac{59}{10} = 59 \] So, Iistan has 59 tangerines. In summary, with 10 pears, Iistan has a delicious bounty of 59 tangerines!