Question

Yen paid $10.50 for 2.5 pounds of pretzels. What price did she pay for each pound of pretzels?

The first step is to
multiply
by a power of 10, so the divisor is a whole number.
The next step is to
subtract
, by figuring out how many times 25 goes into 105.

Answer 1

To find the price per pound of pretzels that Yen paid, we can start with the total cost of the pretzels and the total weight in pounds.

Yen paid $10.50 for 2.5 pounds of pretzels. To find the price per pound, we need to divide the total cost by the total weight:

\[
\text{Price per pound} = \frac{\text{Total Cost}}{\text{Weight in pounds}} = \frac{10.50}{2.5}
\]

To perform this division, we can make it easier by eliminating the decimal in the divisor (2.5). We can multiply both the numerator and denominator by 10:

\[
\frac{10.50 \times 10}{2.5 \times 10} = \frac{105}{25}
\]

Now we can divide 105 by 25.

**Now, let's perform the division:**

First, we need to determine how many times 25 can go into 105.

1. **Subtract step:** Start by estimating how many times 25 fits into 105. We know:

- \(25 \times 4 = 100\)
- \(25 \times 5 = 125\) which is too high.

So, 25 fits into 105 four times since \(100 < 105 < 125\).

2. **Perform the multiplication and subtraction:**

- \(105 - 100 = 5\)

So, we have:

\[
4 \text{ with a remainder of } 5
\]

To express this as a decimal, we proceed with the remainder:

- Add a decimal point and a zero to the remainder (making it 50) and bring it down.
- Now divide 50 by 25:

\[
50 ÷ 25 = 2
\]

Thus,

\[
\frac{105}{25} = 4.2
\]

So, the price Yen paid for each pound of pretzels is **$4.20** per pound.