Question

At a toy store, a small bag contains 25 marbles, and a medium sized bag contains 7S marbles. The ratio of the number of marbles in the small bag to the number of marbles in the medium bag is equivalent to the ratio of the number of marbles in the medium bag to the number of marbles to the large bag. How many marbles are in the large bag?

Answer 1

Let the number of marbles in the large bag be L. Then we have: 25 : 7S = 7S : L Multiplying both sides by 7S, we get: 25(7S) = (7S)^2 : L 175S = 49S^2 : L L = (49S^2) / 175 L = (7S^2) / 25 Therefore, the number of marbles in the large bag is (7/25) times the number of marbles in the medium bag.