Liam had three boxes, containing a total of 1650 styrofoam bowls. The number of styrofoam bowls in Box A to the total number of styrofoam bowls was 3 : 11. He sold 360 styrofoam bowls from Box B and sold ¹₄ of the styrofoam bowls in Box C. The number of styrofoam bowls left in Box B to the number of styrofoam bowls left in Box C was 2 : 1. How many styrofoam bowls were there in Box B at first?

	Box A	Box B	Box C	Total
Before	3 u	8 u (1200)		11 u (1650)
		6 p + 360	4 p
Change		- 360	- 1 p
			3 p
After		2x3 = 6 p	1x3 = 3 p

11 u = 1650
1 u = 1650 ÷ 11 = 150

Number of styrofoam bowls in Box B and Box C at first
= 8 u
= 8 x 150
= 1200

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

6 p + 360 + 4 p = 1200
6 p + 4 p = 1200 - 360
10 p = 840

1 p = 840 ÷ 10 = 84

Number of bowls in Box B at first
= 6 p + 360
= 6 x 84 + 360
= 504 + 360
= 864

Answer(s):864