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 first train? How many additional rider would it take to fill the empty rows?
see the similar questions below
1/4 row is 1 rider
so 3/4 row is three riders
so the first train has 32 - 3 = 29 riders and 3 empty spaces
the second train has 32 riders
third train has 5 1/2 * 4 = 20 + 2 = 22 riders so 10 empty
total riders = 29 + 32 + 22
empty spaces = 32 * 3 - 83 = 13 (bad luck :( )
or use 3 empty + 10 empty = 13 empty
To find out how many rows were empty on the first train, we need to subtract the number of filled rows from the total number of rows.
Total number of rows = 8 rows
Filled rows on the first train = 7 1/4 rows
To subtract fractions, we need a common denominator. The common denominator for 4 and 1/4 is 4.
So, 7 1/4 can be written as (7 * 4 + 1) / 4 = 29/4.
Empty rows on the first train = Total rows - Filled rows = 8 - 29/4.
To subtract fractions, both fractions need to have the same denominator.
8 - 29/4 = (8 * 4 - 29) / 4 = (32 - 29) / 4 = 3/4.
Therefore, there are 3/4 of a row empty on the first train.
To find out how many additional riders would it take to fill the empty rows, we need to calculate the number of riders that would fill 3/4 of a row.
Number of riders in one row = 4
Number of rows required to fill 3/4 of a row = (3/4) / (1/4) = (3/4) x (4/1) = 12/4 = 3 rows.
Number of additional riders required to fill the empty rows = Number of riders in one row x Number of rows required to fill the empty rows = 4 x 3 = 12.
Therefore, it would take 12 additional riders to fill the empty rows on the first train.
To find out how many rows were empty on the first train, we need to subtract the filled rows from the total number of rows on the train. The first train has 8 rows, and the operators reported that 7 1/4 rows were filled.
To find how many empty rows there are, we subtract the filled rows from the total rows:
8 rows - 7 1/4 rows = 8 rows - 7.25 rows = 0.75 rows
So, there were 0.75 or 3/4 of a row empty on the first train.
To find out how many additional riders it would take to fill the empty rows, we need to know the number of riders per row. Since each row can hold 4 riders, we can calculate how many additional riders are needed to fill the empty rows:
Number of riders per row = 4 riders
Number of empty rows = 3/4 rows
To find the number of additional riders needed, we multiply the number of riders per row by the number of empty rows:
4 riders/row * 3/4 rows = 3 riders
So, it would take an additional 3 riders to fill the empty rows on the first train.