Ryan had three boxes, containing a total of 880 styrofoam bowls. The number of styrofoam bowls in Box F to the total number of styrofoam bowls was 3 : 11. He sold 272 styrofoam bowls from Box G and sold ¹₄ of the styrofoam bowls in Box H. The number of styrofoam bowls left in Box G to the number of styrofoam bowls left in Box H was 4 : 1. How many styrofoam bowls were there in Box G at first?

	Box F	Box G	Box H	Total
Before	3 u	8 u (640)		11 u (880)
		12 p + 272	4 p
Change		- 272	- 1 p
			3 p
After		4x3 = 12 p	1x3 = 3 p

11 u = 880
1 u = 880 ÷ 11 = 80

Number of styrofoam bowls in Box G and Box H at first
= 8 u
= 8 x 80
= 640

The number of bowls left in H is the repeated identity.
LCM of 1 and 3 = 3

12 p + 272 + 4 p = 640
12 p + 4 p = 640 - 272
16 p = 368

1 p = 368 ÷ 16 = 23

Number of bowls in Box G at first
= 12 p + 272
= 12 x 23 + 272
= 276 + 272
= 548

Answer(s):548