Question

The amount of sugar in a candy recipe is directly proportional to the number of pieces of candy to be made. Making 2,500 pieces of candy requires 30 pounds of sugar. How much sugar is needed to make 1,500 pieces of candy?(1 point)
Responses

125,000 pounds
125,000 pounds

18 pounds
18 pounds

180 pounds
180 pounds

12.5 pounds

Answer 1

To find out how much sugar is needed to make 1,500 pieces of candy, we can set up a proportion based on the information given.

We know that:

- 2,500 pieces of candy require 30 pounds of sugar.

Now, we can calculate the amount of sugar needed for 1,500 pieces of candy using a ratio:

\[
\frac{30 \text{ pounds}}{2500 \text{ pieces}} = \frac{x \text{ pounds}}{1500 \text{ pieces}}
\]

Now we can solve for \(x\):

1. Cross-multiply:
\[
30 \times 1500 = 2500 \times x
\]
\[
45000 = 2500x
\]

2. Now divide both sides by 2500 to solve for \(x\):
\[
x = \frac{45000}{2500} = 18
\]

Thus, **18 pounds** of sugar are needed to make 1,500 pieces of candy.

The correct response is:
**18 pounds**.