SOLUTION: Becky has as many dimes as Ryan and Amy have together. Ryan has 2 more dimes than Amy, and Amy has one-third as many dimes as Becky has. How many dimes does each have?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Becky has as many dimes as Ryan and Amy have together. Ryan has 2 more dimes than Amy, and Amy has one-third as many dimes as Becky has. How many dimes does each have?      Log On


   

Question 55404This question is from textbook
: Becky has as many dimes as Ryan and Amy have together. Ryan has 2 more dimes than Amy, and Amy has one-third as many dimes as Becky has. How many dimes does each have? This question is from textbook

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
1. B = R + A
2. R = A + 2
3. A = B/3

Substitute equation 2 into equation 1
4. B = (A + 2) + A

Plug equation 3 into equation 4
5. B = (B/3 +2) + B/3

Solve equation 5 for B
+1B+=+1B%2F3+%2B+2+%2B+1B%2F3+
+3B%2F3+=+2B%2F3+%2B+2+
Subtract 2B/3 from both sides
+1B%2F3+=+2+
Multiply both sides by 3
+B+=+6+

Plug this into equation 3
+A+=+B%2F3+
+A+=+6%2F3+
+A+=+2+

Plug A and B into equation 1
+B+=+R+%2B+A+
+6+=+R+%2B+2+
+4+=+R+

Becy = 6
Ryan = 4
Amy = 2
Total = 12