Answer:
17 rows of 30 marbles
Step-by-step explanation:
Step 1: Determine the greatest common factor
360 and 150
Find the factors of 360
[tex]1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360[/tex]
Find the factors of 150
[tex]1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150[/tex]
Looking at the two sets of numbers we try to find the biggest number that both lists have. Although 10 is a number that is in both sets we have bigger numbers and the biggest is 30. Therefore, the greatest common factor is 30 which means that each row will have 30 marbles.
Step 2: Determine how many rows exist
Total marbles → [tex]360 + 150 = 510[/tex]
Number of rows → [tex]510/30=17[/tex]
Answer: 17 rows of 30 marbles
