178k views
12 votes
PLEASE HURRY!!!

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?

User Carlos N
by
5.3k points

2 Answers

6 votes
amanda owns 112 stamps
User Marty Thomas
by
4.9k points
6 votes

Answer:

Amanda has 112 stamps

proof:

Lyle has 168 stamps

Shaq has 84 stamps

Explanation:

S = number of stamps Shaquille has

L = number Lyle has

A = number Amanda has

S = 1/2L

A = 2/3L

S + L + A = 364

substituting for S and A

1/2L + L + 2/3L = 364

reduce

2 1/6L = 364

divide both sides by 2 1/6

L = 168

S = 1/2(168) = 84

A = 2/3(168) = 112

User Hrishi
by
5.7k points