Question

150 g of sugar was used to make a bottle of 8% syrup. How much water was used to make this bottle of syrup? How much syrup is there in this bottle?
• g of water were used to make the bottle of syrup. There are _ g of syrup in the bottle.

Answer 1

To solve the problem, we have to determine how much water was used to make the syrup and the total amount of syrup in the bottle.

Given:
- 150 g of sugar is used.
- The syrup is 8% sugar by weight.

### Step 1: Determine the total weight of the syrup

The percentage of sugar in the syrup is given as 8%. This means that the weight of sugar is 8% of the total weight of the syrup.

Let \( x \) be the total weight of the syrup. We can set up the equation:

\[
\frac{150 \text{ g}}{x} = 0.08
\]

### Step 2: Solve for \( x \)

By rearranging the equation, we can solve for \( x \):

\[
150 \text{ g} = 0.08x
\]
\[
x = \frac{150 \text{ g}}{0.08}
\]
\[
x = 1875 \text{ g}
\]

So, the total weight of syrup is 1875 g.

### Step 3: Calculate the weight of water

The weight of the syrup consists of both sugar and water. Therefore, to find the amount of water, we can subtract the weight of sugar from the total weight of the syrup:

\[
\text{Weight of water} = \text{Total weight of syrup} - \text{Weight of sugar}
\]
\[
\text{Weight of water} = 1875 \text{ g} - 150 \text{ g}
\]
\[
\text{Weight of water} = 1725 \text{ g}
\]

### Conclusion

- **1725 g of water were used to make the bottle of syrup.**
- **There are 1875 g of syrup in the bottle.**

Thus, the final answers are:
- 1725 g of water
- 1875 g of syrup