The 5th grade question
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. How many rows were empty on the third train? How many additional riders would it take to fill the empty rows? Explain your answer.
I need help.
2 1/2 rows were empty.
10 people would be needed to fill the empty rows.
If 5 1/2 rows were filled, 8 (amount of total rows) minus 5 1/2 = 2 1/2.
If there are 4 people per row, 2 x 4 = 8
1/2 x 4 = 2
8 + 2 = 10
To find out how many rows were empty on the third train, we need to subtract the number of filled rows from the total number of rows.
The third train had 8 rows, and 5 1/2 rows were filled. To find the number of empty rows, we subtract the filled rows from the total rows: 8 - 5 1/2.
To perform this subtraction, we need to find a common denominator for 8 and 1/2. The common denominator is 2.
So, we rewrite 8 as 8/1 and 1/2 as 2/2.
Now, we can subtract:
8/1 - 5 1/2 = 8/1 - 11/2.
To subtract fractions, we need to have a common denominator, which in this case is 2.
To make the denominators 2, we rewrite 8/1 as 16/2.
Now, we can subtract:
16/2 - 11/2 = 5/2.
The third train had 5/2 or 2 1/2 empty rows.
To find out how many additional riders would it take to fill these empty rows, we need to calculate the number of riders per row.
We know that each row can hold 4 riders. Therefore, the number of additional riders needed to fill the empty rows is:
2 1/2 rows * 4 riders per row = 10 riders.
It would take an additional 10 riders to fill the empty rows on the third train.
To find out how many rows were empty on the third train, we first need to calculate how many rows were filled.
On the first train, the operators reported that 7 1/4 rows were filled. To convert this mixed number to an improper fraction, we multiply the whole number (7) by the denominator of the fraction (4), which gives us 28. Then we add the numerator (1) to get 29. So, 7 1/4 as an improper fraction is 29/4.
On the second train, all 8 rows were filled, so there were 8 filled rows.
On the third train, the operators reported that 5 1/2 rows were filled. Using the same process as before, we convert this mixed number to an improper fraction, which gives us 11/2.
To find out how many rows were empty on the third train, we subtract the number of filled rows from the total number of rows per train. In this case, there are 8 rows per train.
8 - 11/2 = (16/2 - 11/2) = 5/2
So, there were 5/2 or 2 1/2 rows empty on the third train.
To find out how many additional riders it would take to fill the empty rows, we need to multiply the number of empty rows by the number of riders per row. In this case, there are 4 riders per row.
2 1/2 rows * 4 riders per row = (5/2 * 4) = 20/2 = 10 additional riders.
Therefore, there were 2 1/2 rows empty on the third train and it would take 10 additional riders to fill the empty rows.