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)%0D%0AResponses%0D%0A%0D%0A125,000 pounds%0D%0A125,000 pounds%0D%0A%0D%0A12.5 pounds%0D%0A12.5 pounds%0D%0A%0D%0A180 pounds%0D%0A180 pounds%0D%0A%0D%0A18 pounds
12.5 pounds
Explanation:
Since the amount of sugar is directly proportional to the number of pieces of candy, we can set up a proportion to solve for the amount of sugar needed to make 1,500 pieces of candy.
30 pounds of sugar is needed to make 2,500 pieces of candy.
Therefore, 30 pounds / 2,500 pieces = x pounds / 1,500 pieces
Solving for x, we get:
x = (30 pounds * 1,500 pieces) / 2,500 pieces
x = 18 pounds
Therefore, 18 pounds of sugar is needed to make 1,500 pieces of candy.