To find the price Yen paid for each pound of pretzels, you start with the total price she paid and divide it by the total weight in pounds. In this case, Yen paid $10.50 for 2.5 pounds of pretzels.
To perform the division \( 10.50 \div 2.5 \):
- You can eliminate the decimal by multiplying both numbers by 10. This simplifies the problem to \( 105 \div 25 \).
- Now, to proceed with the division \( 105 \div 25 \):
- Start by seeing how many times 25 fits into the first part of 105. Since 25 fits into 105 four times (because \( 4 \times 25 = 100 \)), you write down 4.
- You can subtract \( 100 \) from \( 105 \), which gives you a remainder of \( 5 \).
- The next step would be to bring down the next part of the dividend (if there were more digits, but in this case, we can treat it as \( 50 \) because we can add a zero to the remainder).
- Now you have \( 50 \) to divide by \( 25 \).
Now, summing it up: After dividing:
- 25 goes into 105 four times (4).
- Multiply \( 4 \) by \( 25 \) to subtract (which gives you \( 100 \)).
- Subtract \( 100 \) from \( 105 \) to get a remainder of \( 5 \).
- Bring down the next part of \( 50 \), so it becomes \( 50 \).
- Divide \( 50 \) by \( 25 \), which equals \( 2 \).
Now, to find the total:
- You had 4 from the first part and now 2, which gives you \( 4.2 \).
The final price per pound of pretzels that Yen paid is $4.20.