The number of ushers at a basketball game is directly proportional to the number of spectators. If there are 510 spectators at the game, 17 ushers are needed. How many ushers are needed if there are 1050 spectators?
To solve this problem, we can set up a proportion using the given information.
Let's denote the number of spectators as S and the number of ushers as U.
We know that when there are 510 spectators, 17 ushers are needed. This can be written as:
510/17 = S/U
Now we can use this proportion to find the number of ushers needed when there are 1050 spectators:
1050/U = 510/17
Cross multiplying, we get:
17 * 1050 = 510 * U
17850 = 510 * U
Dividing both sides by 510, we get:
U = 35
Therefore, if there are 1050 spectators at the basketball game, 35 ushers are needed.