Flynn had three boxes, containing a total of 980 styrofoam bowls. The number of styrofoam bowls in Box G to the total number of styrofoam bowls was 3 : 7. He sold 500 styrofoam bowls from Box H and sold ¹₄ of the styrofoam bowls in Box J. The number of styrofoam bowls left in Box H to the number of styrofoam bowls left in Box J was 2 : 1. How many styrofoam bowls were there in Box H at first?

	Box G	Box H	Box J	Total
Before	3 u	4 u (560)		7 u (980)
		6 p + 500	4 p
Change		- 500	- 1 p
			3 p
After		2x3 = 6 p	1x3 = 3 p

7 u = 980
1 u = 980 ÷ 7 = 140

Number of styrofoam bowls in Box H and Box J at first
= 4 u
= 4 x 140
= 560

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

6 p + 500 + 4 p = 560
6 p + 4 p = 560 - 500
10 p = 60

1 p = 60 ÷ 10 = 6

Number of bowls in Box H at first
= 6 p + 500
= 6 x 6 + 500
= 36 + 500
= 536

Answer(s):536