SOLUTION: A roller coaster has 3 trains with 8 rows per train. Riders stand in rows of 4, for a total of 32 rider per train. The operators of the coaster recorded the number of riders on eac

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A roller coaster has 3 trains with 8 rows per train. Riders stand in rows of 4, for a total of 32 rider per train. The operators of the coaster recorded the number of riders on eac      Log On


   



Question 1179762: A roller coaster has 3 trains with 8 rows per train. Riders stand in rows of 4, for a total of 32 rider per train. The operators of the coaster recorded the number of riders on each train during a run. On the first train, the operators reported that 7 1/4 rows were filled. On the second train, all 8 rows were filled, and on the third train, 5 1/2 rows were filled.
1. How many more rows were filled on the first train than on the third train?
2. How many rows were empty on the first train? How many additional rider would it take to fill the empty rows? Explain your answer.
3. How many rows were empty on the third train? How many additional riders would it take to fill the empty rows? Explain your answer.

Answer by CPhill(1959) About Me  (Show Source):
You can put this solution on YOUR website!
Let's break down this roller coaster problem step-by-step:
**1. How many more rows were filled on the first train than on the third train?**
* First train: 7 1/4 rows = 7.25 rows
* Third train: 5 1/2 rows = 5.5 rows
* Difference: 7.25 - 5.5 = 1.75 rows
**Answer:** 1.75 more rows were filled on the first train than the third train.
**2. How many rows were empty on the first train? How many additional riders would it take to fill the empty rows? Explain your answer.**
* Total rows per train: 8
* Rows filled on the first train: 7 1/4 rows = 7.25 rows
* Empty rows: 8 - 7.25 = 0.75 rows
* Riders per row: 4
* Additional riders needed: 0.75 rows * 4 riders/row = 3 riders
**Answer:** 0.75 rows were empty on the first train. It would take 3 additional riders to fill the empty rows.
**Explanation:** Since there are 4 riders per row, and 0.75 of a row is empty, we multiply 0.75 by 4 to find the number of riders needed to fill the empty space.
**3. How many rows were empty on the third train? How many additional riders would it take to fill the empty rows? Explain your answer.**
* Total rows per train: 8
* Rows filled on the third train: 5 1/2 rows = 5.5 rows
* Empty rows: 8 - 5.5 = 2.5 rows
* Riders per row: 4
* Additional riders needed: 2.5 rows * 4 riders/row = 10 riders
**Answer:** 2.5 rows were empty on the third train. It would take 10 additional riders to fill the empty rows.
**Explanation:** Since there are 4 riders per row, and 2.5 rows are empty, we multiply 2.5 by 4 to find the number of riders needed to fill the empty space.