How do you solve this word problem?

Question

Shaquille, Lyle, and Amanda collect stamps. Shaquille has one-half the number of stamps that Lyle has. Amanda has two-thirds as many stamps as Lyle. Together they have 364 stamps. How many stamps does Amanda own?

Answer 1

Let x = the number of stamps Lyle has

Let (1/2)x = the number of stamps Shaquille has

Let (2/3)x = the number of stamps Amanda has
x + (1/2)x + (2/3)x = 364        To get rid of the fractions, multiply the whole equation by 6.

6x + 3x + 4x = 2184

13x = 2184

x = 168

(2/3)x = (2/3)(168) = 112, the number of stamps Amanda has