A croquet ball weighs 460grams. Together a golf ball and a croquet ball weigh the same as eleven golf balls. How much does one golf ball weigh?

Question

A croquet ball weighs 460grams. Together a golf ball and a croquet ball weigh the same as eleven golf balls. How much does one golf ball weigh?

Answer 1

If 1 golf ball + 1 croquet ball = 11 golf balls, then 1 croquet ball = 10 golf balls.

460 / 10 = 46

A golf ball is 46 grams.

Answer 2

Let C be the weight of the croquet ball.  G is the weight of a golf ball.

 

The weight of a golf ball and croquet ball together is C + G

The weight of 11 golf balls is 11G

 

You are told that 11 golf balls weight the same as a golf ball and croquet ball together.  That means that:

 

11G = C + G

11G - G = C

10G = C

G = C/10

 

Since a croquet ball weighs 460 grams

Then a golf ball weights 460grams / 10 = 46 grams