You and a classmate have a bug collection for science class. You find 5 out of every 9 bugs in the collection. You find 4 more bugs than your classmate. How many bugs are in the collection?

Answer 1

Y = 4+ C

4Y = 5C

5C =4Y

C = (4/5)Y

C=Y-4

Y-4 = (4/5)Y

5Y-20 = 4Y

Y =20, You have 20 bugs

20= (5/9)B

180=5B

B = 180/5 = 36 bugs total

20/36 = 4/9 is your share of the bugs

20 = 4+ 16 bugs for your classmate

36 total bugs