Solve.
-In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum is 90 and the U.S. won
More than China who won more than Romania, how many medals did each team win?
A)U.S.: 92 medals; China: 91 medals; Romania: 90 medals
B)U.S.: 29 medals; China: 28 medals; Romania: 27 medals
C)U.S.: 32 medals; China: 31 medals; Romania: 30 medals
D)U.S.: 31 medals; China: 30 medals; Romania: 29 medals

Question

Quizplus · Accepted Answer

Let x be the number of medals won by Romania. Then, the number of medals won by China is x+1 and the number of medals won by the U.S. is x+2 (since the U.S. won more than China who won more than Romania). The sum of the three consecutive integers is 3x+3, which is equal to 90. Therefore, 3x+3=90 or 3x=87. Solving for x, we get x=29, which means Romania won 29 medals, China won 30 medals, and the U.S. won 31 medals. Thus, the answer is D. Let the number of medals won by Romania be x. Then, China won x + 1 medals and the U.S. won x + 2 medals. The sum of these three integers is 3x + 3, which is equal to 90 according to the problem. Therefore, 3x + 3 = 90, which simplifies to 3x = 87 and x = 29. Hence, Romania won 29 medals, China won 30 medals, and the U.S. won 31 medals. Therefore, the correct answer is D.

Solve. -In a Recent International Gymnastics Competition, the U.S., China, and and Romania