SOLUTION: Please help me with this question A and B agreed to share the the cost of an 8 sliced, $18 pizza based on how much each would eat. B ate 2/3 more than A. How much should each pa

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Please help me with this question A and B agreed to share the the cost of an 8 sliced, $18 pizza based on how much each would eat. B ate 2/3 more than A. How much should each pa      Log On


   

Question 854679: Please help me with this question
A and B agreed to share the the cost of an 8 sliced, $18 pizza based on how much each would eat. B ate 2/3 more than A. How much should each pay?
A =
B =
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Each slice costs +18%2F8+=+9%2F4+
+9%2F4+=+2.25+
+b+=+a+%2B+%282%2F3%29%2Aa+
+b+=+%285%2F3%29%2Aa+
--------------------
+a+%2B+b+=+18+
By substitution:
+a+%2B+%285%2F3%29%2Aa+=+18+
+%288%2F3%29%2Aa+=+18+
+a+=+%283%2F8%29%2A18+
+a+=+27%2F4+
+a+=+6.75+ ( 3 slices )
and
+a+%2B+b+=+18+
+b+=+72%2F4+-+27%2F4+
+b+=+45%2F4+
+b+=+11.25+ ( 5 slices )
-------------------
A pays $6.75
B pays $11.25
--------------
check:
+b+=+%285%2F3%29%2Aa+
+45%2F4+=+%28+5%2F3%29%2A%28+27%2F4+%29+
Multiply both sides by +12+
+45%2A3+=+5%2A27+
Divide both sides by +15+
+9+=+9+
OK