Julian had three boxes, containing a total of 500 styrofoam bowls. The number of styrofoam bowls in Box C to the total number of styrofoam bowls was 3 : 10. He sold 272 styrofoam bowls from Box D and sold ¹₃ of the styrofoam bowls in Box E. The number of styrofoam bowls left in Box D to the number of styrofoam bowls left in Box E was 5 : 1. How many styrofoam bowls were there in Box D at first?

	Box C	Box D	Box E	Total
Before	3 u	7 u (350)		10 u (500)
		10 p + 272	3 p
Change		- 272	- 1 p
			2 p
After		5x2 = 10 p	1x2 = 2 p

10 u = 500
1 u = 500 ÷ 10 = 50

Number of styrofoam bowls in Box D and Box E at first
= 7 u
= 7 x 50
= 350

The number of bowls left in E is the repeated identity.
LCM of 1 and 2 = 2

10 p + 272 + 3 p = 350
10 p + 3 p = 350 - 272
13 p = 78

1 p = 78 ÷ 13 = 6

Number of bowls in Box D at first
= 10 p + 272
= 10 x 6 + 272
= 60 + 272
= 332

Answer(s):332