SOLUTION: Sarah gave Peter 1/3 of her plums. Peter ate 1/2 of plums and gave the rest to Jessica. Jessica kept 5 of the plums and gave last 3 to Marc. How many plums did Peter eat?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Sarah gave Peter 1/3 of her plums. Peter ate 1/2 of plums and gave the rest to Jessica. Jessica kept 5 of the plums and gave last 3 to Marc. How many plums did Peter eat?      Log On


   

Question 941034: Sarah gave Peter 1/3 of her plums. Peter ate 1/2 of plums and gave the rest to Jessica. Jessica kept 5
of the plums and gave last 3 to Marc. How many plums did Peter eat?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the no of plums that sarah had initially
she gave 1/3 of her plums to peter
Hence peter received 1/3 of x plums
=+x%2F3
peter ate 1/2 of plums
peter ate = %281%2F2%29%2A%28x%2F3%29
=x%2F6 no of plums
remaining plums = %28x%2F3%29+-%28x%2F6%29
= +x%2F6
jessica received x/6 no of plums
Jessica kept 5
of the plums and gave last 3 to Marc.
hence +%28x%2F6%29-5=+3
+x%2F6+=+3%2B5
x%2F6=+8
x=6%2A8
x= 48
no of plums ate by pete = x/6
= 48/6
= 8
Result: 8