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. Evaluate How many more rows were filled on the first train than on the third train?
2. Multi-Step 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. Multi-Step How many rows were empty on the third train? How many additional riders would it take to fill the empty rows? Explain your answer.
-So yeah I really need help on this problem.
Uhm is anyone going to help me because I am struggling on this word problem.
7 1/4 - 5 1/2 = 6 5/4 - 5 2/4 = 1 3/4
8 - 7 1/4 = 3/4
3/4 * 8 = 6
same way as #2
Sure! I can help you with this problem. Let's break it down step by step.
1. To find how many more rows were filled on the first train than on the third train, we need to subtract the number of rows filled on the third train from the number of rows filled on the first train. The number of rows filled on the first train is 7 1/4, and the number of rows filled on the third train is 5 1/2.
To subtract mixed numbers, let's first convert both numbers to improper fractions.
7 1/4 as an improper fraction is (7 * 4 + 1) / 4 = 29/4.
5 1/2 as an improper fraction is (5 * 2 + 1) / 2 = 11/2.
Now we can subtract:
29/4 - 11/2
To perform this calculation, we need to get a common denominator, which is 4 in this case.
29/4 - (11 * 2) / (2 * 2)
29/4 - 22/4
Now, we can simply subtract the numerators:
(29 - 22)/4
7/4
Therefore, 7/4 rows were more filled on the first train than on the third train.
2. To find how many rows were empty on the first train, we can subtract the number of filled rows from the total number of rows in a train. In this case, the first train has 8 rows, and 7 1/4 rows were filled.
To subtract mixed numbers, let's convert 7 1/4 to an improper fraction:
7 1/4 as an improper fraction is (7 * 4 + 1) / 4 = 29/4.
Now we can subtract the filled rows from the total:
8 - 29/4
To perform this calculation, we need to get a common denominator, which is 4 in this case:
(8 * 4) / 4 - 29/4
32/4 - 29/4
Now, we can subtract the numerators:
(32 - 29)/4
3/4
Therefore, 3/4 rows were empty on the first train.
To find how many additional riders would it 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, each row can hold 4 riders:
(3/4) * 4 = 3.
Therefore, it would take 3 additional riders to fill the empty rows on the first train.
3. To find how many rows were empty on the third train, we can subtract the number of filled rows from the total number of rows in a train. In this case, the third train has 8 rows, and 5 1/2 rows were filled.
To subtract mixed numbers, let's convert 5 1/2 to an improper fraction:
5 1/2 as an improper fraction is (5 * 2 + 1) / 2 = 11/2.
Now we can subtract the filled rows from the total:
8 - 11/2
To perform this calculation, we need to get a common denominator, which is 2 in this case:
(8 * 2) / 2 - 11/2
16/2 - 11/2
Now, we can subtract the numerators:
(16 - 11)/2
5/2
Therefore, 5/2 rows were empty on the third train.
To find how many additional riders would it 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, each row can hold 4 riders:
(5/2) * 4 = 10.
Therefore, it would take 10 additional riders to fill the empty rows on the third train.